The post you are reporting:
TUTTHILL - not a Kent name, I don't have any, but there were TUTTHILLS in the 1920 directory:
R. TUTTHILL, 2 Osmunda Villas, Cherry Tree Avenue
G. TUTTHILL, 3 Nightingale Road.
BYFORD: I don't have any refs.
but connected to Dover, I see on Ancestry website: an Emily Harriet Jane BYFORD (PHOTO on Ancestry), born Apr 1864 was a daughter of Wm BYFORD (1827-1901) and Maria PICKLES (1842-1905).
William born 1827 was a son of Wm BYR+FORD (1796 -) who married Mary (1801-1861).
Emily Harriet Jane BYFORD had siblings called Mary, Henry, Alice, Alfred, and Arthur,
maybe one of these was your gt-gt-grandmother. Not been in E.Kent very long, I don't think. Not a local name.