Last name origins & meanings:
1. German: (also Märtz): from a nickname or personal name for someone who was born or baptized in the month of March, Middle High German merz (see March 2), or who had some other special connection with the month, such as owing a feudal obligation then.
2. German: from a short form of a personal name such as Martin 1 or Mark 1.
3. German: from a Germanic personal name, Marizo (which became Mar(t)zo), a pet form of compound names formed with mari ‘famous’ as the first element.