Putting it all together, I have come to the same conclusion as Willsy in post No.7 that this is his marriage. (I have established/been able to confirm Elizabeth's surname and fathers name as her brother and two sisters were living with the Owens, in Hyde, in 1881) Elizabeth's father, Jonathan, was clearly dead by the time of the marriage although he is not shown as deceased on the register entry.
So, what do we have? A marriage between two people of the right name, in the right place, at the right date and with the right fathers' names. (Whosoever wrote the "Find a Grave" entry has clearly reached the same conclusion although they are one day away from the correct marriage date.) The only thing which doesn't fit is James' age. His age on the marriage entry is 22 which would mean that he was born circa. 1849 rather than 1852.
Did James and Elizabeth, therefore, marry whilst James was studying hard at Harrison's academy? It doesn't appear so. According to the marriage entry, James was a "Hatter" - a trade for which this part of the world was famous. Either this is the wrong marriage; and I don't see that it is, or James was actually a snake oil salesman!
The journey continues. Any further thoughts which may confirm or disprove my conclusions would be most welcome.
Thanks
Ray