I think Old Deuteronomy was Grizabella's father. She was his favorite child, and he watched her grow and eventually leave the jellicle community to pursue her own dreams. The outside world was hard on her, and she wants more than anything to be accepted back into the community. Old Deuteronomy feels sorry for her and is saddened to see the way the other cats shun her, which is why he gives her eternal life in the end. - Sadira