Glenna \g-lenna, gl(en)-na\ as a girl's name is pronounced GLEN-ah. It is of Irish and Gaelic origin, and the meaning of Glenna is "glen". A glen is a narrow valley between hills. Glenn is occasionally used as a girl's name due to the actress Glenn Close. Actress Glenne Headley.
Glenna has 13 variant forms: Gleana, Glenda, Gleneen, Glenene, Glenine, Glen, Glenn, Glenne, Glennene, Glennette, Glennie, Glyn and Glynn.