Is this behaviour weird or normal?

So before anyone takes this post the wrong way, I am not suggesting anything or accusing anyone of anything. I was badly abused in the past mentally and I’m not good at understanding situations or knowing if somethings normal or a red flag.

So my partner and his mum are really close. No worries there I’m glad they have a good bond.

However she will text him and call him ‘baby’ (which she does call her partner) and tell her son (my partner) that she ‘misses his voice’ so she calls him very often (they live together, however when he comes to mine to spend time with me she’s always calling and texting him throughout the day). Before he met me, they were planning on buying a house together, not sure why. He does talk to her about all of our ups and downs, and will sit there messaging her about us if things aren’t going well. Which also makes me nervous because I’m not able to put my side across and I don’t want her thinking badly of me when he has only ever told one side to a story.

I’m just after advice, I’m not trying to break any bonds or take him away from her (another one of her worries, which is why i don’t feel as though we can even start to look at our own place, as she doesn’t want him to move out, if he brings it up to her she says not to talk about it cause she can’t deal with it)

Is this all normal? I’m struggle to understand relationships between people, I don’t have a close bond with anyone, and my dad passed away when I was 11, so I have no guidance or support with issues like this and how to understand them.