There is a name
Aline (pron. "Aleen")which is related to Adeline/Adele (which mean 'noble'). It dates back to medieval times. Otherwise, my first thought when I saw Alynne was that maybe it was a feminisation of
Alan, or a twist on
Lynne, or possibly both, as if your parents had wanted to honour an
Alan and a
Lynne. I've never come across Alynne before and my guess is that it's a modern creation, perhaps especially for you. But I could be wrong. Good luck on your quest! :-)