Yes i beleave you, that could be your Patrick Rotchford that was living in that shed in Aberford near Tadcaster in 1851. It list a Patrick Ratchford age 35,that would make him born about 1816. This is close to your date, the census could be off some.. My John Ratchford was in that shed too. In 1861 there was a Mary, her sons, John,William,Anthony,Michael and Patrick that were in that shed that moved to Tadcaster . Do you have the 1851 Aberford census that shows the 8 Rachford's in that shed? My Ratchford's came from Knockmore,Mayo,Ireland. Knockmore is right next to Castlebar.
I just found a ancestors of Patrick Ratchford's from Harrogate,Yorkshire,England.
Could you tell me who your Patrick was married to and the names of their children. And any information you might have on your Patrick Rotchford.