Martin. First, a bit of a mystery here. Prior to 1900, the street was known as Richmond Street. Some time between 1900 and 1909 it became Rigel Street. By 1930, it had reverted back to Richmond Street (see attachment below)
As to the address of the Rose and Crown, one possibility is number 13 Rigel Street which is described as home to James Baron, a beer retailer in 1909.
Hope this helps.