Well being that she is only 3 and 1/2 months old, she is still very young, and when they are babies, they do sleep alot and they DO need it. They can play too hard and wear themselves out very, very quickly...and they usually don't know when to quit. You almost have to just pick them up and put them down for a nap, just like a real little baby. At least that's what I had to do with mine when he was a baby - he was such a little rascal (still is

) and all he wanted to do was play HARD 24/7.
P.S.- Are you giving your baby any Nutri-Cal??? They need this to insure that it keeps their blood sugar up.