Step daughters mother.

So my fiancé has a little girl that I just adore. Well this past weekend was our weekend and the mom wanted to switch weekends for a birthday party but we didn't want to switch cause we had plans since it was so nice out. We'll she got made and now her family is threatening my fiancé and stuff cause the baby missed out on the party. Now he's at the point that he don't want to deal with the family so I pick the baby up if it's from anyone other than the mom. Which is fine. But this morning I dropped her off and told her what time I get off and I go back home and I find a message in my phone from the mom asking about a fever and said well he didn't answer (he was sleeping) well she posted on fb that he's ignoring her. Which he's not. He was sleeping. We think she's just mad cause he got what he wanted in court and she didnt. Is there any other ways to deal with this other than take her back to court? And plus I'm pregnant and scared to tell her cause we don't know what she's gonna say or do.. any suggestions on how to deal with this? He is a really good father she's just making him out to be the worst father ever.

Update: we have a court order already we have her 50/50 and she just don't like that she didn't get her way. So she's just trying to make him look bad. Or so it seems. We have let her take the baby on our weekends quite a bit. And even changed our plans for her to take her. And he put his foot down this time and she didn't like it. & thank you all for the advice!