Hi Polly,
I have found a George WHEATLEY that could be yours, he was born 4th March 1812 & baptised 27th Dec 1812.
His father was George WHEATLEY of Chester, Cordwainer of
?ington? {could be Washington}
His mother was Mary ARROWSMITH of
??ington??{as before this could be Washington}
Now comes the hard part, my transcriptions finish in 1827 & from then to 1837 is what you probably need to obtain his marriage.
You say that you could'nt find George on the 1851 census & that in 1861 Margaret, Jane's mother resides with her.
The Free BDM gives a few possibles here
George WHEATLEY deaths of interest
Chester-le-Street=
Sept Qtr 1842
Sept Qtr 1843
March Qtr 1846
Gateshead= 6 miles from C.L.S.
Sept Qtr 1856
June Qtr 1858
One of these is more than likely yours.
This chaps father, George senior appears to have quite a few brothers or cousins in the area as there are about half a dozen weddings around the late 1700's & early 1800's dealing with WHEATLEY'S and then baptisms to match up with them.
As for RENWICK:
The only marriage I could find was Richard RENWICK married Mary CHALMERS at Ryton, Durham
2nd Oct 1825
This is about 10 miles from Chester-le-Street.
What I did find though was a lot of RENWICK connected with the Ryton area.
Sorry, I don't have any Ryton records, it may pay you to check Ryton films at your local LDS centre.
The RENWICKS on my files are about 100 years before yours, when you get back that far then maybe we can match them up.
Sorry, I wasn't able to be more helpful, but a look at the Chester-le=Street films up to 1837 should find your George Wheatley marriage.
Cheers
Geoff