I think I've found James and Mary Jane in 1901. I believe it's the enumberator's error, and they are down as FLETCHER at 4 Overton St, Hulme (RG13/3705 ED37 FOL40 PG33).
James is a Furniture Remover's Clerk - ten years later he was a manager in the same trade.
James do, Head, M, 25, Funiture Remover's Clerk, Lancashire Manchester
Mary J do, Wife, M, 22, , do do
Florrie do, Daug,, 5, , do do
James do, Son, , 3, , do do
Annie E do, Daug, , 1, , do do
Next door but one is a family of VERNONs.
8 Overton St
George Vernon, Head, M, 43, Brick Setter
Eleanor do, Wife, M, 42
Emily do, Daug, S, 16, Cotton Winder (Cotton Mill)
George do, Son, 13, Distibuter of Adverting Bills
Eleanor do, Daug, 11
Minnie do, Daug, 7
Gertrude do, Daug, 4
May do, Daug, 1
All born Lanc. Manchester