Jackson genealogical brick wall

Ye socks who despise my family history related posts may tune out now.

Today, I managed to chip away at a longstanding brick wall in my research on our Jackson forebears, if ever so slightly.

In the 1850 Census of South Brunswick (Middlesex County), New Jersey, yours truly discovered the following family enumerated on page 386:

Jackson, John, age 45, laborer, real estate valued at $200, born in New Jersey.
Jackson, Catharine, 35, born in Ireland.
Jackson, John, age 1, born in New Jersey.


These are definitely my ancestors who subsequently settled at Princeton, New Jersey.


But, I can't trace them back any further.


The only other clue I have is Catherine's maiden name, and it's not much of a clue as it is given variously as Rourke, Roarke, O'Rourke, and O'Roarke.

Any help would be greatly appreciated!