'Stamford Bridge' is considered to be a corruption of 'Samfordesbrigge' meaning 'the bridge at the sandy ford'. Eighteenth century maps show a 'Stanford Creek' running along the route of what is now a railway line at the back of the East Stand as a tributary of the Thames. The upper reaches of this tributary have been variously known as Billingswell Ditch, Pools Creek and Counters Creek. In mediaeval times the Creek was known as Billingwell Dyche, derived from 'Billing's spring or stream'. It formed the boundary between the parishes of Kensington and Fulham. By the eighteenth century the creek had become known as Counter's Creek which is the name it has retained since.
The stream had two local bridges: Stanford Bridge on the Fulham Road (also recorded as Little Chelsea Bridge) and Stanbridge on the Kings Road, now known as Stanley Bridge.The existing Stamford Bridge was built of brick in 1860–2 and has been partly reconstructed since then.
Source:
http://en.wikipedia.o..._Bridge_%28stadium%29