Sister in law wants to discuss names

So I am pregnant with my first child that we’ve been trying for, for over a year so we have names in mind already. My mans sister in law is pregnant with her second, will be pretty close in birth dates maybe a week or so difference.

She and her husband want to get together with us to discuss baby names so we don’t name our kid something they like. I am 100% against this as I don’t want to share our names with anyone. I feel a little disrespected by it, because as I said we’ve been trying we had a miscarriage last year. They were adamant about not wanting a kid, even going as far as saying it would be awful. Not that I’m mad they are having a baby, I’m so happy for them. I just think it’s rude to want us to disclose our names we’ve had for over a year now. She is the type to steal a name she likes.

Well, I told them no. That I would not be sharing our names but if they had names in mind that they didn’t care if they shared or not, they could tell us and I’d tell them if they were the same or not.

She had a complete fit saying that was not fair.

I honestly don’t care if our kids have the same exact name (they won’t though, family names from my side are included in ours) or not. I just feel like this is a way to get us to disclose our names so they can steal them. :/ Stealing them would upset me, since she is due first. If we just happened to have the same picked out, that wouldn’t bother me at all. If that makes sense.

Opinions!??