Fullum family is descended from Andrew Fulham and his wife Mary Collins of St Leonard's Parish,of Shoreditch in the 1700's City of London. Their son was Thomas Fulham who married Rosalie Chaberlain,the ancestress of the French Canadian lineages.
I believe this Thomas Fulham was a Loyalist in New England New York who was a volunteer in the British Army " Loyalist Militias in the American War of Independence. The Canadian family know of a "mystery surrounding his origins in Canada.The descendants of Quebec and New Brunswick were officially recorded as French ethnicity in several official recorded census.
They are direct descendants of our original Norman ancestors in the City of London.
We can see a fall in the recorded numbers in the 1901 Census and then it rises to the highest recorded number of family members this must be due to the different spelling recorded in 1901. I would think that English speaking Census Takers would spell the surname as they heard it pronounced by the French speaking family member as there are some families surname spelt Fullim Fulhen Fulhem Foulhem etc [1]