I see that, according to the 1851 census, William was a Victualler.
Maybe there are court records (licence applications?)
1851 census: Reference HO107, Piece 2199, Folio 885, Page 6
Wiend Red Lion, Wigan
McKenzie, William Head M 37 Victualler b Scotland
McKenzie, Anna, Wife F 32 b Wigan
McKenzie, John Son M 13 b Wigan
McKenzie, Anne Daughter F 10 b Wigan
McKenzie, Elizabeth Daughter F 7 b Wigan
McKenzie, Janet Daughter F 5 b Wigan
McKenzie, William Son M 2 b Wigan
John is married in 1861, in Wigan, and it looks like his brother William is with him.
Janet is a boarder in St Helens.
Elizabeth is a servant in Wigan.
Possibly father William dies in 1858?
March qtr 1858
Wigan district vol 8c, page 14
McKenzie, William