Midge is a familiar form (English) of the English and Scottish Marjorie.
Midge is also a familiar form (English) of the English, French, and German Michelle.
Midge is not commonly used as a baby girl name. It is not in the top 1000 names. Within the family of girl names directly related to Midge, Michelle was the most popular in 2018.
† approx pronunciation for Midge: M as in "me (M.IY)" ; IH as in "it (IH.T)" ; JH as in "joy (JH.OY)"