Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
SHOE
As described in historical dictionaries
Patronymica Britannica (1860)
SHOE. Probably an ancient A-Sax. name, whence the designations of the places called Shoobrooke, Shohy, Shoebury, &c.