Mother upset over wife’s pregnancy

Edit I put the rules in a comment and just to clarify we do pay rent to live with my mother we are not living rent free in her house

So my wife(22) and myself(25) have had to move back to my mothers house(64) due to financial issues and my wife is 36 weeks pregnant, and she has some rules about seeing the baby when she is born and it applies to both her family and to mine and I support her. My mother has been having fits about the rules saying that she would have never done that like not allowing her mother in law in the hospital(but her mother in law was long dead before I was born so there’s no way to know that to be true). My wife just want some peace for a few days after she has to give birth and she has a huge problem with that. My through a massive fit about me siding with my wife which in my opinion is you side with your wife over your family or friends. A little more background when I was 6 my father died of cancer and from the time I was 6 tell the time I moved out the first time at 21 it was just me and my mom which I think has caused her to have attachment issues since she never remarried or dated after my dad died but I guess my question is AITAH for siding with my wife?