I think its weird but that's only because i'm weird and I don't trust people that make contact with me first.

I have these type of conversations with my daughter all the time and I believe you should make contact with a statement because she won't know what to do with a poke.
I think telling her you always wanted to say hi would be ok and it seems reasonable that she would show up on 'people you may know' because yall did go to the same college. I don't think it's weird that you would know her name.