William was born in 1833 in Bolton and his baptism took place on February 23rd, 1834 at St. Peter's (Bolton).1
Birth Notes
Name: William Rosthorn Baptism Date: 23 Feb 1834 Baptism Place: Bolton-le-Moors, St Peter, Lancashire, England Father: Thomas Rosthorn Mother: Rachel Rosthorn Reference Number: L243/1/3/11
Abode: Great Bolton. Widow (i.e. Thomas father deceased)
William was the son of Rachel Mather. Rachel married Thomas Rosthorn, but he died within a year of their marriage.
23 Feb 1834 William, son of Thomas (deceased) and Rachel Rosthorn of Great Bolton was baptised. "Widow" is shows as occupation.
In 1841, William Rosthorn (indexed William Rasthson), aged 8 was with Richard Mather (60) and his three sons at Dandy Row, Sharples. This is assumed to be his grandson.