Enoch, we have in later records using the name Smith, which was Naomi's maiden name, so for whatever reason, Abraham & Enoch stopped using the names Parker/Draper & chose Smith.
Spencer (1824-1901) and Ellick (Alexander)(1841-1896) sons of William Draper and Mary Cotchin, stop using Draper and start using Smith in the later part of the 1800s. Both deaths are registered as Smith.
William's parents were another William Draper and an Eleanor who I believe to be the daughter of Medrick/Madrack/Madereck Smith and Mary/Marjeny (surname unknown) but possibly a Cooper according to Richard Edmund's "Early British Gypsy Families Volume 3 Smith".
There is a story that the Draper name stopped being used after "an incident with a gamekeeper".
The mother of Ellick's first wife Hannah Fletcher (1838-?) marriage October 1860 Brenchley Kent - was Mary Loveridge.