Sheri /she-ri/ [2 sylls.] as a name for girls. Sheri's name origins are Old German, French and English, and the name Sheri means free man; dear. Sheri is an alternate form of Charlotte (Old German).Sheri is also a variation of Cher (French).Sheri is also used as a variation of Sherry (English, French).heri is a very popular first name for women (#379 out of 4276, Top 9%) but a rare last name for all people. (2000 U.S. Census). Shown below is the birth name popularity of Sheri for girls.