This Hebrew name of Queen Esther is well used in Israel (especially for girls born around the holiday of Purim), and in the US is the name of a Zionist women's philanthropic organization. Formerly shunned as hyper-religious, this name entered the Top 1000 in 2007 and has since climbed into the Top 700. Nickname Haddie feels like a natural companion for Addie and Maddie.

Hadassah

Rarely heard Hayden alternative -- though, mark our words, you'll spend your life correcting everyone's pronunciation and spelling. 

Hadden

Haden

Most parents would find this old Roman name pretentious compared to the more accessible Adrian, but some history buffs just might want to commemorate the enlightened emperor. 

Hadrian

Haileigh

This variation of Hailey and Halley -- one of dozens -- was used by Eminem for his daughter.

Hailie

Hajar

Muhammad approved all ninety-nine attributes of Allah as worthy names, and this is one of the most popular. It was in the US Top 1000 for the first time since 1998 in 2016, when it was one of the 10 fastest-rising boys' names.  Perhaps the most well known person in America with the name is former Houston Rockets center and Basketball Hall of Famer Hakeem Olajuwon.

Hakeem

Halina

Hamza was the legendary uncle of the Prophet Muhammad, hero of The Hamzanama, the Story of Hamza. 

Hamza

This name has considerable meaning in the Islamic world, as Hamzah the brave was the uncle and protector of the Prophet of Islam.  A more contemporary Hamzah is the eldest son of the late King Hussein and Queen Noor of Jordan. More commonly encountered in English-speaking countries as Hamza.

Hamzah

If you like names that are not really names -- some say, the wave of the future -- Harbor has an attractive sound as well as an appealing meaning and image. 

Harbor

Hardy is a spirited and durable un-Germanic German surname that is starting to be used in this country. 
 British fashion designer Hardy Amies (born Edwin) is its best known bearer, and Thomas Hardy could make a literary namesake--as might the old Hardy Boys series of adventure books for young boys.

Hardy

Familiar via Harry, but much more worldly. 

Hari

Harleen

HARLYN

With Harmony on the rise, this spelling variation is getting some attention as well. It was a newcomer to the US Top 1000 in 2015.

Harmoni

Haroon, also styled as Aroon and Harun, is the mythic charioteer of the dawn.

Haroon

This common Arabic name is related to Aaron, but feels far more distinctive in the US. Haroun Khalifa is the protagonist of Salman Rushdie's Haroun and the Sea of Stories.

Haroun

Harrie

Havanah

Havanna

Hayleigh

Hayli

Haynes

Haze

This flower name was one of the most popular in her class in the seventies and eighties (in the 1989 movie Heathers, every snobby girl in the high school clique bore that name). Now, though still pretty and evocative of the Scottish moors, it has faded in favor of other purplish blooms, having fallen out of the Top 1000 after having been as high as Number 3 in 1975, when it was given to close to 25,000 girls.

Heather

Among the children named Heaven are the daughters of TV personality Brooke Burke and rap singer Lil' Mo, who also has a daughter named God'iss Love. Some parents have taken to using Nevaeh instead—Heaven spelled backwards. 

Heaven

Helen is a name that has connoted beauty since ancient times – Helen of Troy was the the mythological "face that launched a thousand ships," over whom the ten-year Trojan War was fought. 
 

The name Helen has moved in and out of favor over the centuries, often alternating with Ellen. It was a Top 5 name for several decades of the early twentieth century, falling out of the Top 100 in the 50s. Now, after being unfashionable for decades, we see signs of a comeback for Helen—it's the kind of serious, unadorned classic many parents are returning to.
But if Helen still feels too plain for you, you might consider one of its many lovely variants: Helena, Elena, Eleni, Ella, Nellie or Nell, to name just a few.

 In Greek myth, Helen is the daughter of Leda and Zeus, who came to her mother in the form of a swan. Helen also has legions of real-life namesakes, including author and activist Helen Keller, politician Helen Gahaghan Douglas, newspaper reporter Helen Thomas, Cosmo force Helen Gurley Brown, Bridget Jones creator Helen Fielding, artist Helen Frankenthaler, and actresses Hayes, Mirren, and Hunt. Beatrix Potter's birth name was Helen.

Helen

Despite a return to such feminizations of male names as Josephine, Clementine, and Theodora, starchy Henrietta has not made it into that group. Still, if you look hard enough, you'll see that Henrietta has the same vintage charm. 
 The name arrived in England in 1625 via King Charles I's wife, the French princess Henriette Marie, who became known as Henrietta Maria. Her daughter shared her name but was known as Minette.
 It has been prominent recently through the bestselling book The Immortal Life of Henrietta Lacks, the story of the poor black woman whose cells became one of the most important tools in medical research. Henrietta Szold was a U.S. Zionist leader and founder of the Hadassah Women's Organization. 
 Henrietta has a number of charming vintage nicknames, including Etta, Hetty and Hattie.

Henrietta

Herbie

These days, more people will relate to Hermes -- pronounced ayr-MEZ -- as an upscale brand name like Chanel and Porsche than as a Greek god. Actress Kelly Rutherford took on the challenge when she bestowed the name on her son.  Hermes is the god of travel, writing, athletics, and thievery, among many other things.

Hermes

Hermione's costarring role in Harry Potter has made this previously ignored, once stodgy name suddenly viable. Hermione could really take off once today's children start having kids of their own. 
 In ancient Greek myth, Hermione is the daughter of Spartan King Menelaus and his wife Helen; in pre-Potter lit, the name appears in Shakespeare's The Winter's Tale and in Walter Scott's novel The Fortunes of Nigel.

Hermione

Hilary (also spelled with two 'l's) is a hot potato of a name, so closely identified with Sen. Clinton that it's hard for most parents to see it as a baby name. A pity, really, as it's got so much going for it: the popular, rhythmic three-syllable structure, the fact that it's strong but light, proper but jaunty, with an irresistible meaning -- having the same root as hilarious. 

Hilary

Do you really want to name your baby after a hotel? Or a famous-for-being-famous starlet?

Hilton

Holley

Lively, friendly surname that might appeal to basketball fans. 

Hooper

Sean and Robin Wright Penn chose this name for their son to honor their friend Dennis Hopper; others might associate it with the painter Edward. Couldn't be more spirited.

Hopper

Since so many of the biblical prophet names -- Daniel, Jonah, Nathan, Samuel -- are overused, you might want to consider this distinctive alternative. Hosea was the author of the book of prophesies bearing his name, whose underlying message was a promise of restoration. The Talmud claims that he was the greatest prophet of his generation.
 Hosea Williams was an important civil rights leader. Martin Luther King called him "my wild man, my Castro," in recognition of Williams' skill as an organizer.

Hosea

Howie

Distinguished actor Hume Cronyn (who shared his father's name) put this unusual choice in the lexicon. 

Hume

Huntly

Hurley is a possibility as a unisex surname-name ending with the "lee" sound. It is perhaps most associated with British actress Elizabeth Hurley, and is much rarer than Harley, because the "ur" sound is currently out of fashion (and the word "hurl" may put some off).

Hurley

Husayn

One spelling of a well-used Arabic name. Hussein ibn Ali was a grandson of the Prophet Muhammad. It gained in popularity in the USA during the presidency of Barack Hussein Obama.

Hussein

Haadi

Habana

Haddassah

Haddie

Hades

Hailo

Haithem

Haiven

Haiyzel

Hakiana

Hakua

Halim

Halyna

Hamiora

Hammar

Hanvicka

Haochen

Hargoon

Haricharen

Harish

Harleyah

Harlo

Harloe

Harsean

Harshini

Haruna

Harvi

Havaya

Havoc

Havyn

Hayde

Haylo-Marie

Haytham

Hayze-aizen

Hazawar

Haziq

Hazzel

Heart

Hediah

Hedley

Helainah

Heman

Hemi

Henlee

Henre

Heston

Hidee

Higo

Himani

Hina

Hirere-Merle

Hiroaki

Hoani

Hridaan

Hridhaan

imogeneve's list "Bonds Babies 2015 - Unusual Hs" of 107 great name ideas: Hadassah - Hylas!

Bonds Babies 2015 - Unusual Hs

The Bonds baby search is a popular annual modelling competition, that is nationwide in Australia, for bubs under four. I've compilied a list of all the names that only occur once. These are the unusual names that start with H. If you notice any errors, please let me know.