The name Inara is a girl's name meaning "shining light". Inara and is often added to user-created lists like Firsts -- Girls and discussed in our forums with posts like "Hunt for our favourite girl names (Alphabet-wise)".
From the experts:
Inara is of those words that seems to mean something different in each of a dozen different languages, and was the name of an important goddess to the Ancient Hittites. But it owes much of its (admittedly scant) popularity as a baby name to Joss Whedon's cult hit sci-fi series Firefly, in which one of the main characters is named Inara Serra.