No. Alice Cooper's father is Ether Moroni Furnier.
Alice Cooper was born with the name Vincent Damon Furnier on February 4, 1948 in Detroit, Michigan. His father was a preacher for The Church of Jesus Christ (a branch of the LDS Mormon religion), based in Monongahela, Pennsylvania.
According to Cooper’s biography, he was active in the church until the age of 11 or 12. His family moved to Phoenix, Arizona when he was about 16 years old.
Alice Cooper pioneered a grandly theatrical brand of hard rock that was designed to shock. Drawing equally from horror movies, vaudeville, and garage rock, the group created a stage show that featured electric chairs, guillotines, fake blood and boa constrictors. He continues to tour regularly, performing shows worldwide with the dark and horror-themed theatrics that he’s best known for.