In 1851 Alfred Wakefield 22 b Chalfont, Bucks was living with his brother William 40, a brick & tile maker, b Newport Monmouthshire in Co. Durham. Chalfont is 25+ miles from Leighton Buzzard, and 135 miles from Newport
In 1851 James Wakefield 27, a brickmaker, b Leighton Beds was living with his brother in law Edward Coltman and wife Sarah Coltman 40 b Fenny Stratford, Bucks. A Sarah Wakefield daughter of John & Elizabeth was baptised at Fenny Stratford on 3 Oct 1813
In 1841 there's an Alfred Wakefield 10 born in Bucks, living in Linslade Bucks in the same house as John & Ann Faulkner both 25 both b Bucks.
Later I see from your thread at http://www.rootschat.com/forum/index.php/topic,585987.msg4372276.html#msg4372276 that she was another assumed daughter of John and Elizabeth born Fenny Stratford, and ties her in with Alfred from Leighton Buzzard. But this still doesn't firmly link the Co. Durham family with Alfred in Linslade. There are burials in Linslade of John Wakefield on 17 Aug 1833 and Elizabeth Wakefield 45 on 20 Aug 1833. These are the only Wakefield burials in Linslade 1813-45. Linslade and Leighton Buzzard are next door to each other.
I'm not sure what your original request was asking for. You know from the IGI that the Alfred baptised in 1829 in Leighton Buzzard had parents John and Elizabeth. What you don't know is if this Alfred is the same Alfred who was living in Co. Durham in 1851 with a birthplace of Chalfont Bucks, with a brother William born in Newport Monmouthshire. As Leighton Buzzard baptisms have been extracted onto the IGI and there's no entry for James c1824, a search of the original register is not going to show anything - but you know from his marriage that his father was John, a brickmaker.
As I see it there are three family groups - Linslade; Lincs; and Durham. Linslade and Lincs have a common denominator via the two girls baptised in Fenny Stratford, but there's nothing that connects Durham with the other two, other than the name "Alfred" baptised at the right time, but in a parish that's 25 miles from where he says he was born.
You need Alfred's marriage cert to see if his father is named as John, a brickmaker. If it was then it looks very probable that Alfred and James were siblings.
David