I'm not quite sure what you want help with here.
Are you trying to find the marriage of Joseph Wedge and Elizabeth - the parents of James born 1842?
It sounds as if you already have it.
Perhaps you are just trying to work out which marriage is the correct one.
Added:
1851 High Street Sedgley, James Wedge, aged 8, is in the household of Joseph Wedge and his wife Elizabeth.
Other children John aged 13, Maria aged 10, Mary 5 and Harriet aged 0. All born Sedgley.
Joseph aged 46, is a carter and coal dealer also born Sedgley.
In 1841, Joseph and Elizabeth only have John, aged 3 and MAria aged 1.
These don't tally with the names you give of Jean (1835) and Elizabeth (1837) as their children.
I can't find either of these births. Nor find either of them on the 1841 Census. Where did you get these names from?
The marriage 24th Jan 1835 of Joseph Wedge is to Elizabeth Smate at Wolverhampton - just about 4 miles from Sedgley. Bachelor and spinster, By Banns. No ages given. Both make their mark.
I also can't find any marriage between a Joseph Wedge and a Jane Cartwright.
Where did you get this information from?
What evidence is there for this?
As Neale1961 says, you should never just take things from other people's trees.
There are many, many errors on them.
You can use the information to help you search of course, but you need to find solid evidence for the information that's given on them
