There are three William Harrisons, one c 1807 and the others c 1801 …..so given how the 1841 census worked I’ve posted all three for you…….but I suspect the first one is the one you want…….
HO107/ 1265/ 15/11/ 15
Whitby, Yorkshire, England
Church Street
William Harrison 34 Cabinet Maker
Hannah Harrison 29
James Harrison 2
All born in county
HO107/ 1265/ 15/19/ 1
Whitby, Yorkshire, England
Boalby Bank
Wm Harrison 40 Something Manufacturer
Dan Harrison 29
Cathrine Harrison 12
Henry Harrison 8
Mary Ann Harrison 6
William Harrison 4
All born in county
HO107/ 1265/ 16/10/ 13/
Whitby, Yorkshire, England
Can’t decipher the street
Willm Harrison 40 Joiner
Mary Harrison 40
James Harrison 14
Willm Harrison 12
Maryann Harrison 10
Elizabeth Harrison 7
All born in county
Off to find Ann....
.....dee