Let's get the obvious out of the way - this band had nothing to do with the UK/Phil Collins band. Genesis was actually a popular band name in the late 1960s. We're sure this band was from Ohio, and seemingly from Dayton (two 45s recorded at Cyberteknics), although some Ohio University connection was mentioned. This band released at least three 45s. The first one covers the Easybeats "Gonna have a Good Time", and the next two were all original songs with a distinctly psychedelic/hippie sound. All the original songs are credited to M. Jones. More info would certainly be welcome.
Good Time / Gypsie (no label, no #)
Baby Jesus /Lady Of The Hour (Mushroom 101)