According to both Matthew and Luke, Joseph was the father, and it's his linage that is traced.
So they did not believe in that virgin story. miles
Many, of the early Christian sects did not.
Some believed the Holy Spirit entered Jesus after he was born.
Some believed he was never born and just began to exist in this world.
The nature of, or the lack of, the divinity of Jesus was a hotly contested issues between the early sects.