Hi,

It helps if you post more exact information to assist others in seeing if they have a connection.

For example the 1870 census, Ward 3, Erie County (Heritage Quest) indicates that William (37) was a hair dresser of some means (4,650)
(I don't see this cenus page indexed on ancestry.com)

Wife Ada (25) listed as born NY, and that also in household was not only Sarah Wright (58) but a Dora Wright (22) born NY, listed as occupation hair dresser, who I assume is the daughter of Sarah and sister of Ada.

Erie county is not far from the border of NY - part of tracing families is looking at migration patterns.

For example, there are free Wrights listed in 1850 in neighboring Warren County.

The question is, where do you think William met and married Ada?
More than likely not in Jefferson County, his birth county and two counties below Erie/Warren on the NY border. He more than likely migrated upwards, geographcally - to get himself established.
What marriage records are available in Erie County?

If he had a successful hair dressing establishment or barbershop, you might also want to look at business directories, or newspapers.

He and Sarah are fairly old to be listed with no children in 1870 (37 & 35). Could they have had previous marriages? Could there have been children who died young?

The 1860 PA census has quite a few Wrights listed - indexed as colored (not black) and mulatto.

though this may not be a connection in 1850:

Name: Sarah Wright
Age: 38
Estimated birth year: abt 1812
Birth Place: New York
Race: Mulatto
Gender: Female
Home in 1850
(City,County,State): Spring Creek, Warren, Pennsylvania

Interestingly she, and husband Timothy are listed next door to Simon Wright (born NY) whose wife is named Ada. May have no meaning at all - but could be a naming clue.

Good luck,

Denise