Meaning and name origin
Glenice \g-leni-ce, gl(e)-nice\ as a girl's name is of Welsh origin, and the meaning of Glenice is "holy". Glenice is a variant of Glenys (Welsh): from a different root as the similar-sounding Glynis.
Glenice is not a popular first name for females and an equally uncommon surname or last name for all people (2000 U.S. Census).
Displayed below is the baby name popularity of the name Glenice for girls. Glenice has not been ranked in the Top 1000/100 so far. (2014 statistics).