Allen was born on January 3, 1902, in Romeo, Michigan to parents Lee and Mary Rush.

[1] Allen graduated from Romeo High School and took two courses at Michigan State University.

[2] Rush was a farmer, and a member of the Michigan State Horticultural Society.

[1][3] From 1961 to 1962, Rush served as the delegate to the Michigan constitutional convention from the Macomb County 3rd district.

Rush was a member of the Rotary Club, but ended his membership before being elected to the state legislature.