Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
HOPER
As described in historical dictionaries
Patronymica Britannica (1860)
HOPER. From residence near a Jiope or valley. See Hope, and the termination er. The Protestant bishop of Gloucester, temp. Queen Mary, wrote his name indifferently Hoper and Hooper.