I have named my daughter Hamdia Fatimah, is it correct or should I change it.

Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions. Basically, all names are lawful except the names that are prohibited in Shariah or disliked. The name Hamdiyah Fatimah is correct. We do not know any reason that prevent from giving that name to a girl. Allah knows best.