Hmmm..... I think it’s quite normal to be very protective of your baby, but to be worried that loved family members are actually going to hurt him? It’s not really rational, is it? Have you told yourself this?
I have seen this happen twice with babies on my husband’s side and MIL’s DILs as others say it does happen. Whether it’s rational and “normal” or not is another matter. Just be careful that you don’t damage relationships with the wider family, as it can be very hurtful to have a perfectly happy baby snatched out of your arms for no apparent reason after only 2 minutes. It can make people feel like they're holding the baby wrong or that you just don’t trust them. The older generation especially can be very hurt by actions like that when they’re just wanting to show their love.
It’s different if they’re overstimulating him or getting him all hyped up when you know he genuinely just needs a cuddle with you to calm down, Or if they’ve got germs like a cold or cold sore or have just had a smoke or have been drinking a bit too much.
My ex SIL was very over protective of her first. Wouldn’t let anyone hold her even when she had just had a feed and had nodded off in her arms in a milk drunk stupor. The second came along and she was similar again, in fact some relatives were more or less told to stay away altogether for the first few weeks or if they weren’t overtly told to they felt like they had to. Consequently I and other relatives never held my nieces as newborns and don’t have any memories of them at that age to share with their mother.
A few months on, and she was trying to pass them round to whoever was there so she could get some space. “Would you like to give her her bottle?” Etc. Well, it becomes very difficult to feel happy to do something like that then because you feel as if you’re being scrutinised anxiously with every fibre of the mum’s being. It’s off putting and you may find that people no longer feel comfortable to be involved with physically holding your baby while you are present.,
Feeling protective about your baby is just nature’s hormones and gut instinct working to keep your baby safe. But when they are in overdrive and there is no actual danger, maybe that is the time where you could thinking about visiting the Gp or Health visitor for advice
Have you discussed how you feel with your DH/P?