Does anyone know the word bijon? (Possibly Acadian french in origin)

I'm from between Bathurst and Campbellton in New Brunswick, a small town called Lorne.

People there will sometimes refer to a snuggle as a "bijon". No clue if that's actually how it's spelled bee-sion is kind of how it's pronounced for English speakers similar to lesion but with a B instead of the L haha.

I've been curious for a while about where this word comes from but cannot for the life of me figure it out.

I know there is a kind of lullaby type song associated with it but can't find that either.

If anyone knows anything about it I'd love to hear what you know.