I suspect that there is more than one James Moughtin born in 1845/46. One in Lonan and one in Liverpool. You may want to look at three certificates:
There is a James Moughtin who married in Liverpool in the June quarter of 1845 (vol 20 p 223). A Sarah Johnson is on the same page.
In the March quarter of 1846 there is the birth of a James Moughtin (vol 20 p. 1076). Who are his parents and where did the live?
In the December quarter of 1892 there is the death of a James Moughtin aged 46 (Vol 8b page 164.
I could not locate the March 1846 James in the 1851, 1861 or 1871 cencus.
I did find one of the right age and birth location in 1881 and 1891, and both times his place of birth is Liverpool.
1881 RG11/3638 156 Wolfe Street, Liverpool:
James 35 bootmaker married b. Liverpool.
Sarah A 31 b Liverpool
James 6 b Liverpool
Sarah A 2 b Liverpool.
1891 RG12/2930
James 45 shoemaker b. liverpool
Sarah A 41 b. Liverpool
James 16 b. Liverpool
Walter 14 b. Liverpool
Sarah A 12 b Bootle
Thomas 9 b liverpool
Alexander 6 b Liverpool
Benjamin 4 b Liverpool
John 1 b Liverpool
Another family could be his parents, except that he does not appear in the 1851-1871 census.
1851 HO107/2188 197 Mill St. Liverpool
Jas Moughton 32 Shipwright b IOM
Sarah wife 24 b. Liverpool
MaryAnn 3 b Liverpool
William 1 b Liverpool
1861 RG9/2700 36 Park Place Liverpool
James Moughton 41 Shipwright b. IOM
Sarah 34 b Liverpool
Mary A 13 b. liverpoo
Frederick 9 b Liverpool
Walter 6 b. Liverpool
1871 RG10/3802 24 Alder St. Liverpool
James Moughtin 52 Ship carpenter b IOM
Sarah 44 b Liverpool
Frederick 19 Stone mason
Sarah J 9 b Liverpool
Emma Johnson 24 Visitor b. Liverpool.
1881 22 Grey St. Liverpool RG11/3635
James moughtin 62 Ship carpenter b IOM
sarah 54 b. Liverpool
Frederick 29 Stone mason b. Liverpool
Mary A Craig 33 daughter b. Liverpool
Thomas Craig 4 Grandson b. Liverpool
James Craig 2 b Kirkdale
If these are your people, two loose ends:
1. Why is James a "Salter" on the marriage certificate and a shoemaker in the census?
2. Where was James in the 1851,1861 and 1871 census?