There were about 4 of each John & Thomas on A….y around the dates you mention, sadly I was unable to find common parents.
I’m not sure if the following will help but it’s the best I can come up with except for Thomas.
William of the parish below married Priscilla Parker 23 Apr 1772 St Mary, Whitechapel
Priscilla was buried at St Michael 10 Sep 1775
John White Baptism 11 Nov 1773 St Michael, Crooked Lane, City of London. William & Priscilla
William White otp widower married Elizabeth Smedley 13 Feb 1780 St Michael Crooked Lane
Children baptised St Michael Crooked Lane
Elizabeth 7 Dec 1780, Abraham 13 May 1781, William 24 Feb 1782, James 4 Sep 1783
Then the following baptisms at St Mary at Lambeth
Abraham 13 May 1781 the same date as above.
Elizabeth 25 Dec 1782, Ann 28 Mar 1784, Charlotte 25 Dec 1785, Sarah 2 Nov 1788
Colin