I have just looked at our transcription of the burial registers still held in Winwick church (1813 - 2000) and there are several Farrington/ Farringdon burials, the last in 1990.
I will log those up to 1924 in case they are of use.
1) John Farrington bur 9 Apr 182 aged 12 weeks
2) Susan Farringdon bur 22 Feb 1863 aged 85.
3) Frederick Farringdon bur 14 Aug 1864 aged 1y 9m
4) Ann Rebecca Farrington bur 4 May 1881 aged 26
5) Susan Farringdon bur 12 Apr 1884 aged 25 days
6) Mary Farrington bur 2 Dec 1884 aged 68
7) James bur 10 Aug 1894 aged 83

Elizabeth Ellen bur 17 May 1898 aged 14
9) Rebecca bur 4 Apr 1900 aged 79
10) Mabel Elizabeth bur 28 Apr 1900 aged 2m
11) Vincent Charles bur 1 Apr 1908 aged 1
12) Louisa bur 13 Oct 1921 aged 46
13) Thomas of Oundle bur 13 Nov 1922 aged 71
14 Sarah Elizabeth bur 12 Jan 1924 aged 66.
No Hilsons noted but in Huntingdon Marriage Index they seem to be around Stow Longa, Upton, Steeple Gidding and Catworth, all within a few miles of Winwick. Note that Winwick is on the border with Northants - in fact until quite recently several acres were in that county.
Best wishes,
Steerpike