I'll do it from Matthew Goodwin senior downward:
Matthew Goodwin (1811-1883) farmer and Methodist lay preacher, son of Rowland Goodwin and Ann Ford, lived at Oxlow End, Peak Forest. Married twice, first to Jane White in 1856 (who died 1858, no children) then in 1861 to Mary Vernon (1828-1883).
Matthew and Mary had six children:
Annie Goodwin, 1862-1946, married Charles Critchlow. They lived in Lenton, Nottinghamshire and had four children that I know of.
Mary Jane Clews Goodwin, 1864-1934, married Enoch Vernon (another common Peak Forest surname). They lived firstly in Chapel-en-le-Frith, then moved to Bramcote, Nottinghamshire. By the 1911 census they had moved to Stapleford and had had seven children.
Matthew Edward Goodwin, your ancestor, 1867-1953, married Clara Victoria Gordon, children born in Lenton, Manchester and Macclesfield
John Rowland Goodwin my ancestor, 1968-1949, married Mary Emily Fishwick, had four children of whom two survived. They lived in Newton Heath, Manchester. Their surviving daughter Annie had no children. Their son Arthur had one child, my late mother Vera, so she was the last of the Manchester branch of this family.
Ebenezer Worthington Goodwin, 1870-1955, married twice but had no children. He came to Manchester at the same time as brother John Rowland. I think he may have been named Worthington after an employer of his mother Mary Vernon (in the 1841 census she was a servant in Salford, in the house of Ellen Worthington).
Martha Ellen Goodwin, 1874-1954, married William Bryans. They also lived in Bramcote then Stapleford. 1911 census states they had five children of whom two survived.
Taking the Goodwin line further back from Matthew Goodwin Senior, they are solidly in the Peak Forest or Chapel-en-le-Frith areas:
his parents, Rowland Goodwin b. 1777 and Ann Ford, b. 1780
his grandparents, Rowland Goodwin b. 1745 and Ann Beard b. 1740
his gt-grandparents William Goodwin b. 1709 and Annise Hartle b. 1712
I think all those came from the online registers for Peak Forest.
http://freepages.genealogy.rootsweb.ancestry.com/~dusk/index.htm 
Barbara