The records do not support ,Thomas Nash being from Sussex England.
Thomas Robert Nash born 1st Quarter, 1885,Lambeth,London england .
London,England Births and Baptisms,1813-1906.
Thomas Robert Nash,Baptised May 20 1885, Father Walter Henry Nash,
Mother Mary Ann Nash, Borough of Lambeth,London England.1891 Census
has Walter and Mary with 7 children all from Lambeth,London England