What's in a Name?
Here's a collection of different sites' meanings for 'Carly'.

From NamesAndMore.com:
Name: Carly
Origin: Latin
Root: Carol, from Charles
Meaning: Strong; womanly

From BehindTheName.com:
CARLY, F, English
Feminine form of CARL

From ParentHood.com:
Carly
Female
Latin
little, womanly