Hi Andrea,
I came across the Laytons while looking for my aunt's family - Townsends who emigrated to New Zealand in 1850.
I have been able to find the Layton family who seem to be mostly Tea Brokers or Colonial Produce brokers many living in Lime St, City of London.
Frances m. Edward Townsend
Elizabeth b.c.1758 m. James Oram Clarkson
Ann b.c.1767 m. Andrew Crew Greville
John b.c.1750 m. Mary Kellaway
James b.c.1766 m. 1. Maria Hillyard, 2. Sophia Clarkson
Charles b.c.1768 m. Matilda Bryett
Andrew m. 1. Susanna Crew Meggs, 2. Frances Parr
The daughter of Andrew and Ann Greville, Margaret Anna Greville b.c. 1797 m. William Webb Chapman.
I have found out more about the descendants of some of them so if you think this may fit in your family please let me know.
I have not been able to find the parents of these children - any clues?
Best wishes
Victoria