hmmmm, good question! I see nothing wrong with his giving girlfriend this ring.

I would find it touching that it belonged to his grandmother. I on the other hand dont know what she would think. So, Yes, it could be an engagement ring. The bottom line is... will she like it?? and we wont know that until/unless he gives it to her.

Can they honestly talk to each other about the ring and can she say ... Yes I like it... No I'd rather not wear that ring. If she declines the ring, will it make the boyfriend upset with her? My My! You sure did ask a complicated question

My opinion and Bottom Line: I think she would prefer this ring to NO ring... jmo.