More information about William Swinington of Horsley- there are also records of a William Beane, who had a son Gilles Beane, baptized in Horsley in 1607. Then, in 1636 in Horsley, a Gyles Swineingeton married Elizabeth Perwife. And in 1638 and 1639, Mary Beane and William Beane, children of Giles Beane, were baptized. I would put forth that Giles Beane (and therefore William Beane his father) were also known as Swinington/Swinnerton. Also likely part of this family were Elizabeth Beane, daughter of William, baptized in 1610; and also Anne Beane, daughter of William, baptized in 1604, who may have been the Agnes Beane who married William Lawe in 1634.
I would suggest that William Beane/Swinington of Horsley was a son or perhaps brother of Thomas Beane/Swinnerton of Tetbury.