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Calli

Call, -i, -o, =us: A beauty; beautiful (Greek)
Call, -e, -i, -o: hardened (Latin)

Phora

Phor: A thief; a kind of bee (Greek)
Phor, -a, -e, -i, -o: Carry, bear; movement (Greek)
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Edit

I found this here: http://medical-dictionary.thefreedictionary.com/Calliphoridae

Calliphoridae
[kal′əfôr′ədē]
Etymology: Gk, kallos, beauty, pherein, to bear
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So it looks like 'bearer of beauty' might be the right translation.