Just in case this is the family, Thomas and Sarah look like they have these children all baptised at Gainsborough, so spelling fairly fluid

):
19 Jul 1813 Mary Palmer COLLINGER (of Bridge St, mariner)
28 Jan 1815 Samuel COLLINGER (of Causeway, mariner)
18 Jun 1817 Thomas COLLINSON (of Bridge St, mariner)
? Ann COLLiNGS bu 13 Apr 1821 (dau of Thomas, Bridge St, mariner
08 Jan 1823 John COLLINS (born 06 Feb 1815) (of BRidge St, sailor)
08 Oct 1823 Sarah Ann COLLINGS (of Pillard House Yard, mariner)
05 Jun 1826 William COLLINS (of Bridge St, sailor)
31 Dec 1827 Susannah Spicer COLLINS (of Pillard House Yard, sailor) bu 15 May 1828
24 Oct 1829 William Palmer COLLINS (of Gainsborough, mariner) bu 10 Nov 1829
31 May 1833 Joseph COLLINS (of Gainsborough, sailor)
They are in Gainsborough in 1841:
Thos Collins 37 (mariner) - I think this is meant to be 57
Sarah Collins 32 - I think this is meant to be 52
Thomas Collins 24 (joiner)
Joseph Collins 8
H0107/634/14 pg20
and in Gainsborough in 1851:
Sarah Collings 62 Gainsbro
Thomas Collings 34 Gainsbro (joiner and cabinet maker)
Joseph Collings 18 Gainsbro (cabinet maker)
H0107/2120 / 204 pg 53