Only Stanton I find on Potters Lane in 1861 is Henry aged 56, wife Catherine,53, and a young neice with different name.
Wednesbury too large to search without an address. Sorry.
Decided to try Witton Lane in 1871 and found this:
West Bromwich, Parliamentry borough of Wednesbury, St James ecc district.
Sq Wittons Lane
Sch no. 98
Harriet Stanton,head,wid,44,Staffs,Wednesbury
Richard Stanton,son,unm,14,coal miner,Staffs,West Bromwich
Reuben Stanton,son,12,scholar,Staffs,West Bromwich
Harriet Stanton,dau,8,scholar,Staffs,West Bromwich
Ellen Stanton,dau,5,scholar,Staffs,West Bromwich
Amy Stanton,dau,3,Staffs,West Bromwich
John Wilson,boarder,?unm,58,labourer,Staffs,West Bromwich