Fame simply means being famous. It can be for anything. Your name is known. In the example you gave, glory is accolades. The fame is accompanied by the acknowledgment of something good and noteworthy. Glory in general has to do with noticing something very, very good about something or someone; worthiness and beauty in its or their own way. The antique car was restored to its former glory. The hero

Fame last longer than glory. Famous people are remembered for ages. While a person can be glorified for a short period of time Glory is To talk about something in a way which makes it seem better than it is. For example: The truth Is Jimmy never scores a goal, he always miss the goal. "One day Jimmy scored the winning goal of the soccer match." hence the team won and Jimmy was glorified.

Both of them have close connection Fame: the state of being known or recognized by many, kind of being famous Glory have multiple meanings like praise and thanks, but sometimes glory can be source of fame