The name Fawn is a girl's name meaning "a young deer". Fawn and is often added to lists like Middle Names for Girls and discussed in our forums with posts like "A brother or sister for little Jack or Olivia".
From the experts:
The doe-eyed Fawn, like other retrograde names such as Tawny and Taffy, does not, in our opinion, give a girl enough to live up to. Fawn limped along at the bottom of the Top 1000 throughout the 1960s and 1970s -- the era that gave birth to Barbie and Bambi -- but has not been on the scope for 30 years now. Try Fern, or Flora.