The LOR stations from Pier Head going south were Pier Head, James St., Canning, Wapping, Brunswick etc. You are quite right Granny, there was a Custom House Station. It was renamed Canning in 1940 after Custom House Building was destroyed.
Have been shuffling a 1:10,000 map of the docks and a 1940's 1" to mile OS sheet around. On my 2nd bottle of Librium and not 100% sure of anything anymore.....................
It's all your fault Pablo !!!!
Over to you Granny. Your investigative skills seem well honed !