Amara:

Origin: Greek; Meaning: Unfading; eternal

Origin: Latin; Meaning: Bitter; sour

Origin: African; Meaning: Paradise

Origin: Sanskrit; Meaning: Immortal

http://babynamesworld.parentsconnect..._of_Amara.html

I'm not sure if these were the same meanings you looked at when you named her, but if this is the little girl I sent you, then I think you picked a perfect name!