Why?

Kind of weird but I’ll take the gifts

I would feel a little uncomfortable

They like y’all?

I'd think that they want to be friends with you (: it's totally normal for colleagues to become friends outside of work and go to dinners and such with their families. my parents still keep in touch with their work buddies and go to lunch every month even after retiring!! I'd trust my partner, and I'd be open to the idea of adding new friends to my circle if they're people my partner cares about.

That happens. I liked the banana bread.

Yeah I’d think that was weird but I’d meet them to really get a sense of what they’re trying to do

I’m expensive

Would think it would be very weird and very suspicious i would definitely question it

Gifts would be inappropriate, but if they just wanted to meet me and were excited about it, I would presume it's just because they are friends with my partner, and are just happy to meet people important to her? That's fine. Desperation however, in any respect, is a bit much.