Mother in law telling me how to raise my baby...

Sorry, but I need to rant...

So my mother in law invited my husband and I out to the beach when my baby was three weeks old. I was a little hesitant because I just knew this would happen. While it was really nice of her to invite us to the beach, she just keeps taking the baby out of my hands! While I was changing her poopy diaper in my room she was crying (as expected). My mil heard this from the other room and came running and said “oh what’s going on” and I said she needs to eat and she was like no she needs to take a walk and just basically pushed me out of the way and took her away from me. I swear if this happens again I’m leaving or saying something. She tried taking her for a walk, but it didn’t work, lol...so she started feeding her from a bottle I made.

On top of that while I was pregnant she always talked shit about her step daughters parenting skills. She just always talks mad shit about her and makes me think that she will talk shit about me. She even told me “I can’t say anything to her about her dumb parenting skills, but I can say something to y’all since he’s my son”. Her son is three and hasn’t started talking yet and blames it on her parenting skills...which pisses me off.

She also always refers to MY baby as HER baby. I’m sorry, but this pisses me off too. Am I just being over protective of my daughter?

UPDATE:

So as we were leaving for the beach I was putting baby in the car seat and she was crying like crazy. Again, my mil comes running and actually smacked my hand out of the way to console the baby. I actually am mad at myself that I didn’t say anything then, but I’m not a confrontational type of person. I was sooo freaking pissed I just wanted to get out of there. Then as we were leaving she asked if we could stay longer because she didn’t get to hold the baby enough. My husband and I told her no because we wanted to beat the traffic, then she started bawling crying...🙄 I told her she doesn’t need to cry and to give the baby a kiss because we are leaving. She was just crying and crying until we left....she was never like this before the baby and I’ve known her for ten years...why is she so obsessed with MY child and so disrespectful towards me? I asked my husband to say something to her now or else next time I will blow up on her.