T- I am sorry that you are struggling. It is so horrible to love someone who loves something more then us, alcohol. His is an addict and he will say and do anything to make you feel sorry for him, or get his own way. You have to take what he says to you, with a grain of salt. There is nothing you can do for him, but give him to God.
You need to work a program so you and baby T can have a good life. She deserves a healthy mom. You need to try and hit an alanon meeting to help you disengage with AH. The more you do for your self will put you in a stronger place to deal with the future. Alcoholism is progressive, it will never get better till he works a program and gets sober and it sounds like he is no where near that.
Hugs my friend, keep posting and reading. This to shall pass!!