MIL Announced the birth of my daughter

I gave birth to our second daughter July 1st, it was an extremely traumatic birth. She ended up needing to be pulled out with forceps because it would have taken to long for the OR staff to have things ready for a C-section. My daughter and I both almost died, she was stuck and in distress and I was hemorrhaging. DH called and informed everyone what had happened and that both of us were going to be okay. We were informed by the Dr that it would probably be best that we don’t have another baby or if we do it will need to be a planned C-section.
We spent 48 hours in the hospital came home and were settling in. When I got a text message from an old coworker congratulating me on the arrival of our new baby girl. She had seen a post on Facebook. Turns out MIL had taken it upon herself to announce the arrival, name and every detail of our new baby. I was livid. This is my last baby and I wanted to be able to go about announcing her arrival in my own way and own time. We had no plans of doing it anytime soon. Wanting to take our time to come to terms with what had happened and enjoy and bond with our new baby before announcing her to the world. I took two days to draft a message to MIL. I asked her to take down her post and to refrain from making anymore posts regarding our family without first discussing it with us. We had a conversation with her before the birth of our first daughter laying out that we didn’t want our personal information or information about our kids being out on social media. MIL is bringing other family members into it, calling DH and SIL yelling and swearing saying I have a grudge against her. I am at the point where if she isn’t willing to handle this like an adult I will not allow her access to our kids. There have been many other issues in the past with her overstepping or completely ignoring boundaries. DH is completely on my side and is also upset with his mother. But he is used to this kind of behavior from her and is kind of desensitized to it.

Edit/update
I want to thank everyone for their thoughtful responses and for validating how I am feeling. We will be having a conversation with DH’s family about the new boundaries we will be setting with MIL. I looked this morning to see if she had responded to my message yet and found that she decided to unfriend me on Facebook instead. At this point I will probably just be blocking her then having a conversation with SIL about how she will also be blocked if she shares any information or pictures of our girls with MIL. And that I am not above cutting people out of our lives who are toxic. Until MIL can apologize and prove that she will respect us and our wishes, there will be no contact.

MIL Announced the birth of my daughter