I have not visited the site for some time. So I apologize for my rather late answer. I did know that John Hiatt Pink had married Lucy Howes, but not that she was the daughter of a Towcester solicitor.
Emma Susannah is the given name of John Hiatt Pink's sister. So I assumed that she was godmother to the child.
John Hiatt Pink, Emma Susannah Pink, William Hyde Pink, Caroline Hall Pink, George Pink, Emily Laws Pink, Eliza Ann Pink and Martha Pink were all natural children of John Pink and Rebecca Hiatt. John Pink refers to Rebecca Hiatt in his will as "my respected friend and housekeeper...mother of (my) children". Rebecca Hiatt was the mulatta daughter of John Hiatt, custom rotulorum of Saint Ann, Jamaica. John Hiatt died in September 1820 at 98 years old. At that time, mulatta women just did not marry english men, but 7 children suggest that this was a very serious relationship.
I do not know the link between John Brown and Eliza Ann Pink. But I do have the census records.
I did not know that John Pink's plantations were over 2000 acres. However I did know that he had sugar (Drax Hall) and coffee (Sunbury) plantations. Emma Susannah Pink and William Hyde Pink, the daughter and son of John Pink and sister and brother of John Hiatt Pink were compensated each for 470 slaves in 1837, indicating that their father had in the range of 1000 slaves. I have begun to transcribe the slave register for John Hiatt, John Pink and Rebecca Hiatt, but have not yet finished.
I will try to stay better posted now!!