George D. A. Combes' "Early Vital Records of Hempstead" (NYG&B, 1923) says no birth surname found for Mary. Herbert Furman Seversmith's "Colonial Families of Long Island, New York and Connecticut" (1939) says the same.
Unless someone can provide evidence, I would remove the "Munn" and note those two sources on the profile as saying that all we know is her given name, Mary.