I don't want to pool baby shower gifts with my mum
Do you have a bad relationship with your mom?
No, It's just that she knows it wasn't me who invited the guests to my baby shower.
It's your baby shower, so you should conduct things however you want to. There's nothing wrong with not wanting to conduct things the way your parents want you to in regards to your baby shower.
Really?
Totally! You should be able to help plan and invite who you want. I think it is good to have a few people help you so you don't feel overworked or forget anything.