I'm struggling with 1871 but here he is in 1861. He is Samuel this time so here's hoping it's the right one!
RG9/2841/104/8
Smethurst Street, Heap
Ridings:
Jesse, 56, Cotton Spinner,
Rachel, 57, "
Mary, un, 27, Weaver
Josiah, 15, Piecer
Samuel, 8
Joseph, 18, mar, Spinner
Mary Ann, d-i-l, 18 Reeler
Samuel, g/son 1
All born Heywood
So it looks as if Samuel could be the son of the very young (18) married Joseph and Mary Ann.
Jen