Railway station in Travelcard Zone 3.
The West End of London and Crystal Palace Railway (WELCR) opened the first Wandsworth Common slightly to the north of the present station on 1 December 1856
The station was resited by the LB&SCR to its present location, opening 1 November 1869 as part of works to widen the line, and improve the route between East Croydon and Victoria. Further remodelling of the line and was undertaken in 1890 to increase capacity
More information on the Wikipedia page 
See also Wandsworth Town Station