Al-Hashemi means that he is a Hashemite - an Arab descendant of the family/clan of the Prophet Muhammed.
Al-Qurashi means that he is a member of the Quraysh Tribe - the larger tribe that Muhammed belonged to. The Hashemites were a clan within that Tribe, during Muhammed’s time.
Thanks for that insight.
Wow, how do you keep track of all that stuff? Good memory!