Fought my NarcMom

I’m 30F and after my daughter was born husband and I moved in with my parents because my dad was having health issues. I’m not an only child I have a younger sister who lives at home and is basically a shut in.
My mom and I have never had an easy relationship, she’s always right, always has to have the last word and always a victim. Today my daughter we tired and cranky and was having a meltdown and my mom wouldn’t stop making snide comments about how we’re bad parents and to leave the kid alone and so on. It escalated and she made moves to hit me and did hit me and I hit her back which caused a bigger thing. My dad got involved and told me that we had to leave which is fine I understand. She the cried and picked a fight with my dad who came later to talk to us and convince us to stay since I’m a student in a grad program and our income is tight. I get my dad and he had a point finacally it makes sense to stay with them but my husband is done. My daughter got so upset with this argument made her lose it even more.
We are probably going to move away, and I will apologize tomorrow cuz I know I’m wrong for putting hands on her but it’s just so much. I’ve tried to keep the peace with her and my husband but he’s sick of her and rightfully so (she had a bigger blow up a few months ago picking a fight with my dad to the point where she packed and threatened to leave) which happens about once a year. It end with her sleeping in the living room and the last time she slept in my daughter’s room. I’m so heartbroken over it. I wish my mom was better, I told my dad that I can’t keep living like this she needs help and even my sister hates her. I think the worst part of all this for me is that she got me so out of my character that I hit her I feel terrible even though my husband says she deserves it.