OK, for medical answers eMedicine is your best friend. I'm no physician, but I am aspiring to become one. So, if you have fungal infection in your face, and especially on the hairs on your face you probably have: Tinea Barbae OR Tinea Faciei.
Tinea Barbae is a facial fungus affecting areas of the face and neck associated with a beard. Tinea Faciei is a facial fungus that affected the glabrous (smooth hairless) skin. There is some ambiguity to diagnosis, but Tinea Barbae is usually attributed to males AND Tinea Facie applied to females.
eMedicine Links: Tinea Barbae: http://emedicine.medscape.com/article/1091252-overview Tinea Faciei: http://emedicine.medscape.com/article/1118316-overview
My Website: www.duke.edu/~jme17