As I mentioned earlier James' baptism is on the IGI at Sandy, 21 July 1811, parents William and Ann.
Be warned that there were two William and Anns who may have been living in Sandy at that time, one couple marrying in Sandy in 1800, the other in Eaton Socon in 1803.
In 1851 in Sandy there were
William Braybrook head marr 77 Pauper labourer b Wrestlingworth Beds
Ann Braybrook 77 wife b Eaton Beds
James Dixie son in law widower b Everton Beds
In 1841 in Sandy
William Braybrook 65 Ag lab
Ann Braybrook 65
Joseph Dixie 35
Jane Dixie 25
All bar William born in Beds
So this may have been the pair married at Eaton Socon. Jane was baptised at Sandy in 1817
But there was a Joseph, son of Wm and Ann baptised in 1802 in Sandy, who must have been the Sandy couple.
Which couple James belonged to is impossible to tell! At least without reference to the parish register to see if either William had a distinctive occupation.
David