2060 Nelson Street was on the south side of Nelson Street, just east of the Stanley Park boundary.
It appears that this residence was a small building to the west of 2050 Nelson Street. Perhaps it was above the garage at the rear of Lot 20.

2000 Block Nelson Street – Detail from Goad’s Atlas of the city of Vancouver – 1912 – Vol 1 – Plate 8 – Barclay Street to English Bay and Cardero Street to Stanley Park.

2050 Nelson Street; 1913, detail from Chilco Street to Burrard Inlet to Stanley Park boundary to Pendrell Street; 1972-582.37 – Plate 62; Reference code: AM1594-MAP 383-: 1972-582.37; https://searcharchives.vancouver.ca/plate-62-chilco-street-to-burrard-inlet-to-stanley-park-boundary-to-pendrell-street.

2050 Nelson Street; detail from First Beach, 1954; BO-54-211; http://vintageairphotos.com/bo-54-211/.
Arthur Lyndon South lived at this address in 1920 and 1921