I get the feeling his parents know the SIL is a shit starter, it sounds like they have seen this nonsense before. I would have your husband confront her because that's his mess to clean up, plus that removes the risk of you falling out of character and giving her any ammunition to work with. Your husband should be like how dare you insult my amazing child or my loving wife when none of this is your business or concern. You should never have to put up with toxic behavior just because of the "bUt iT's FaMiLy" nonsense. Grown people need to act grown to be respected and stay in your bubble. Edit to add that I would also kindly and respectfully mention to your in-laws that if this behavior from SIL continues, you won't feel comfortable enough to come around because you feel uncomfortable and disrespected. That might be the motivation they need to stop making excuses for their bratty ass daughter.
I think you could use some time way from them tbh no one deserves to be treated like that because they’re jealous because you had a girl and she didn’t that’s petty and childish!
I wouldn’t be hanging out with them - what relationship are they trying to save?? If the two guys are brothers THEY BOTH need to be handling this together. What’s your husband say and what’s her husband say? It’s all weird, I’d be staying far away and keeping my baby away too 🙅🏻♀️
I would have call her out. Because that's unacceptable for her do that. Just because you got the first girl doesn't mean she can be petty. IDC what your in laws say because this needs to stop before it continues down the road. Your SIL is creating crazy stories to make your child look like the bad guy but she's not.