marvelous_things's list "All The Pretty Flowers" of 2 great name ideas: Jessamine - Bryony!

All The Pretty Flowers

Here is a list of some of my favorite floral and botanical baby names for girls

Jessamine, a charming name occasionally heard in England, is just beginning to be appreciated in the U.S. as a possible successor to all the Jess names of the past. It's also spelled Jessamyn, as in Quaker novelist Jessamyn West, author of Friendly Persuasion--who started life with Jessamyn as her middle name.
 Jessamine began to be used as a first name in Britain around 1900, along with other flower-related names. Yasmin and Yasmine are other Jasmine variations.
 This would make a great choice as a namesake honoring a Jessica.

Jessamine

Bryony is an unusually strong plant name --the bryony is a wild climbing vine with green flowers --that caught on in the U.K. before sprouting here. The name of the young character in the Ian McEwan novel Atonement is spelled Briony, which is the variation and Bryony the original.
 Bryony sounds a lot fresher than the now dated Brittany. Pronunciation is like Brian with an ee at the end, though the name bears no relationship to the male Brian or Bryan.