To be frank with you I don't think there's any difference.

People will tell you a verse is a line in a poem whereeas a stanza is a collection of lines. That's outdated now.

Yes, the word 'verse" is actually from the Latin' verso' which means a line. That's not so much in use these days.

It's more common to hearing people make reference to verse as meaning a group of lines than stanza.

Stanza is old English, verse is the new thing.