The LDS site, Family Search shows that John Browne, born in Horley was married to Joan Ferret of West Hoathly and they were the parents of this William Brown. Joan Ferret's father is shown as John Ferret b.1476 married to Avice ?
Joan Ferret
1502-1573
1502
Birth • 0 Sources
about 1502
West Hoathly, Sussex, England
1573
Age 71
Death • 0 Sources
7 April 1573
Sawbridgeworth, Hertfordshire, England
"Darlene's Family Genealogy" also shows that John Browne married Joan ? and they were the parents of Rev. William Browne.
If this has already been checked out, just ignore it. I'm not sure of the accuracy of the LDS Family Search. It's not fully sourced.