Not meaning to sound rude but the correct terminology is a Doe for a female and a Buck for a male.

Stag and Hind are red deer with calves for young
Fallow are are Buck and Doe
Muntjac Buck and doe
Three fawns/kids are not unheard of but the average is 2. If the females habitat and food supply is good then they can have more hence the three you have seen, and in areas of poorer quality they have less.