Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
STABLE
As described in historical dictionaries
Patronymica Britannica (1860)
STABLE. 1. A personal name mentioned in Domesday. 2. More likely to relate to stability of mind than to association with horses. 3. A corruption of Staple.