well the 1841 John does look to belong to you, the telling point would be if you could find him elsewhere in 1851, i can't the only possible is with mother Ann which doesnt seem likely, the 1851 apprentice Blacksmith is most likely considering that was his occupation on his marriage certificate.
you say you have JOhn Cooper bp. with father JOhn in 1834 does this not give his mothers name ?
i have found a William Cooper bp at St Matthew 5 April 1829 s/o John & sarah