A.K.
My daughter is 5 months old....and she started drooling ALOT when she was 3 months old and 2 teethed poked through on the day she turned 4 months old...so anything can happen.
Talk to the ped about your concerns..as legit as they are, you don't want to deprive your daughter at the same time. Make an appt now...and see what he/she suggests. We were giving our daughter cereal (in the bottle) by the time she was 3 1/2 - 4months. (I breastfed for 2 1/2 months, but also supplemnted with formula becuase my supply was not sufficient enough...and then at 2 1/2 months I literally dried up....it still saddens me!) And now we also give her solids in between bottles...she sleeps through the night, but then again she always had...so I really can't say that that is the reason why...
Nontheless..good luck!!