Immigrant William Edwards of Hartford, son Richard of London

I, so far haven't found, recently repeated that William was the son of Rev. Richard Edwards of Queen Elizabeth fame, whose wife worked on the royal wardrobe. That Richard died in 1572, obviously too early to be William's father. William's father was a minister, married to Ann Munter of St. Botolphs, Aldate, as proven by the will of her mother, Julian Munter. And it looks like Abigail Cole was her daughter, not her step daughter.