Hi, No I'm afraid I don't know which Boughton. In the 1851 census both William and Austin are said to be born in Boughton, Kent. Then in 1861 William is said to be born in Germany, Kent, which I find very confusing. Then in 1871 it just says Kent. I can't find him in any other census apart from a possible William Cole that could be him in 1881, who was born in 'Foreign Parts' This could be linked to the reference to Germany.
The Cole family were butchers and William lived in Middlesex from 1851 on wards.
Thanks Louise.