Just checking back on census etc

Arthur T Cook married Edith C Large in 1924 Islington RD
Arthurs parents were Henry & Annie (nee Hudson -) and he was living with them in 1901/11/21.
Henrys place of birth was London, Middlesex Holloway?)
Henry Harry Cook married Sarah Ann Hudson in June qtr 1882 Islington RD. According to the marriage his father was Timothy Cook deceased. Wedding witnesses were Hudson family.
1881 Henry was living with his mother Sarah and stepfather James Powell - place of birth of all 3 was Islington. Brother Timothy was also there
COOK, TIMOTHY JAMES mmn WARRENDER
GRO Reference: 1861 March Quarter in ISLINGTON Volume 01B Page 220
1871 Was living with mother, stepfather & siblings
1861 Sarah states she is married but crossed through (no husband there) just the 3 boys John 3, Henry 1 & Timothy 3 months - all born Islington
COOK, HENRY mmn WARRENDER
GRO Reference: 1859 Dec Quarter in ISLINGTON Volume 01B Page 182
COOK, JOHN JAMES mmn WARRENDER
GRO Reference: 1858 Mar Quarter in THE ISLINGTON DISTRICT Volume 01B Page 197
Timothy James Cook (Widower) married Sarah Warrender Dec qtr 1856. Timothy James Cook died in March qtr 1861 age 30.
In February 1851 Timothy married Ann Elizabeth Smith at St Pancras - father John a Shoemaker. They were both of the parish at the time of the marriage. Two children baptised to this couple William James Cook in 1852 and Sarah Elizabeth in 1854. Presumably the marriage you refer to before he married Sarah Warrender.
Where do you have Timothy in 1851 - ADDED OK found him with wife 'Elizabeth' his pob Bedfordshire. Have you found his baptism

In 1841 Timothy is in Hope Street. Islington
John Cook 30 occ Shoe M(aker)
Mary Cook 30
Timothy 11
William 5
John Cook 2
All born in County (Middlesex)Timothy's father was John Cook
D. O. B 11.03.1811 in Harrington Bedfordshire (Shoe maker - he married Eliza Warr D. O. B 1808 from Newport Pagnell Buckinghamshire.
John's dad was Timothy Cook
D. O. B 1770 in Harrington Bedfordshire (shop owner). He married Rebecca Mann
D. O. B 1775 in Bedfordshire.
I would really appreciate any help clarifying the above facts are correct and finding any additional infirmation for me. Kind regards Steve Cook (Arthur Cook's grandson)