The name
Ara on this site is the Armenian name, which those of us who are Baby Boomers in the USA remember as the given name of
Ara Parseghian, a famous football coach at Notre Dame University:
http://www.und.com/sports/m-footbl/mtt/parseghian_ara00.html
The Greek goddess and the constellation have names with different origins from the Armenian male name. The constellation is named from the Latin word for "altar".
There probably are other possible derivations for
Ara as a female name.