MIL drama!

We are 31w pregnant, with a baby girl. We have already picked out the name, but decided to keep it private because we don’t want any comments or unsolicited advice from our families. My MIL messaged me today saying ‘so are you set on a name’ and I said yes but it will remain private until we give birth (literally just wait a few more weeks) and she said ok no problem! Then text my husband an hour later asking the same thing like we didn’t have this conversation an hour ago!!! He responded the same thing, and then she started sending messages saying she should know as she’s family and guilt tripping.

This to me is pushing boundaries and not respecting my wishes. I felt like she went behind my back and I’m not sure how to handle it