Hi, the family we are looking at settled in Lancashire. William was a partner in a Brickworks, at Leyland, Lancashre, with Henry Holland. The partnership was dissolved in 1847 but we don't know when he arrived in Lancashire. From the BMD records it looks as if they had a son John born in 1843 in Leyland, then there is a record in the 1851 census showing Elizabeth Matthews, widow and son John Matthews living in Manchester. The record shows that Elizabeth Matthews was born in Birmingham and this and the Sarsons name are the connections to St. Martin's.
Since your last post, I have found a record in the 1851 census for William and Elizabeth Matthews living in Worcester with their son John George Matthews. William is shown as a maker of Ladies Shoes so this is consistant with the baptismal record you checked. His age is 35 so this William could not have got married in January 1832 so we are definately talking of two Williams, one maybe born about 1810, a bricklayer and married in 1832 at St Martin's and then a second born 1816, a shoemaker who had a son John George Matthews in 1841.
Richard.