'Hoxton' probably means the farm of a man called Hōc.
It appears in the Domesday Book of 1086 as Hochestone, and as Hocston in a fine of 1220–1221; Old English tūn meant an enclosure, village or manor. The man's name may also have been Hocg. Hogs may once have been kept here, hence Hogsden, a widely used old spelling, but a personal name is the more likely origin.