It sounds like you have witnesses to domestic abuse committed in front of a 2yo child, which is abuse in itself.
Children are just as harmed when witnessing domestic abuse as they are when it's perpetrated against them.
You might need to gather witness statements from your neighbors, their contact information and seek legal help if your stbx fiance makes trouble for you when you leave him.
Making a good exit strategy... finding advocates, supporters and protectors ahead of leaving can be very helpful.
Hiding all your important paperwork, documents, pictures, jewelry, bank info, evidence and heirlooms, before the guy finds out you're leaving.... can be helpful as well.
It seems to me the PDs get away with more if we're isolated and without witnesses around us..... so consider moving somewhere or with someone where you have support.
You aren't married to this guy so you can do as you please.
Protect yourself and model healthy relationships for your little girl while she's still very young..... if you can.
Good luck,