The only census that I can find for George is 1851. There his birth is Allerdale.
If you have other census records please post them.
Having a look in the Allerdale area
In 1841 and 1851 there is a William Martin and wife Elizabeth who are the right age to be Georges parents.
You could explore this family further.
1841 Brigham, Allerdale above Derwent
William Martin 56 ag lab.
Elisabeth Martin 50
Elisabeth Martin 11
1851 Embleton (Low Mill)
William Martin, Head, 66, Ag lab, born Cumberland
Elizabeth Martin, wife, 60, born Caldbeck
Joseph Martin, son, 36, Ag lab, born Embleton
There is a baptism for a George Martin (see reply1) that would fit with those parents
28 July 1822 Setmurthy
Parents William and Elizabeth