Gough Street steps [????-????]

The original Gough Street steps had existed a long time ago. It was in the Gazette as early as 1857. _[1]
I try to position it as above based on following details. Your kind suggestions to fine tune its location are welcome.

[location clue 1]
In Directories of 1864, Circular Pathway is described as Gough Street steps to Ladder Street.
The relative positions of Gough Street and Circular Pathway (弓弦巷) should be rather invariant over the years. So it helps to indicate whereabout the staircase.

[location clue 2]
As the 1901 map _[2], the steps are with a wide entry area on the Queen's Road Central level and have multiple flights in its upper part.
As a reasonable spatial guess, Gough Street steps should be close to end of current Gough Street, for descent to Queen's Road Central.

[other supports]
Two other references are related to water supply, in 1859 and c.1905 the Rider Main System, when defining 'District No. 3' boundary.

Due to the massive clearing and reinforcement works when Hollywood Terrace was built (today's at QRC), original location or steps should have not any traces left.  

Old Hong Kong (vol. 4) may be one of the early written accounts which mentioned Gough Street steps directly with its colloquial name in Chinese. Namely, 百步梯.
Under the article 'Hong Kong Chinese Names', it mentions

    Then end of Gough Street is more poetically termed the Hundred Steps Ladder _[4] ... (c. 1935)

A photo near 244-254 QRC c.1960-70s is here. We could see how the hillside of the site looks like, before Hollywood Terrace. 

[hotels near the steps]

As carefully studied by reader Jill before (here), it should be a location near which some hotels resided, with an affinity. Actually, there was also a stand for public jinrichshas from the 1890s; the next few stands are Man On Insurance Office (2 QRW), Queen's Street and Ko Shing Theatre, as Gazette.

period focused : c. 1870-1880s   (mainly based on the Directories) 

    (*) by comparison, some renumbering seemed to happen in 1882-1883;
       another tavern nearby called Liverpool Arms indirectly supports this : 
       it was at #182 in 1882, but at #204 in 1883-84, which could be seen in the rate book photo by Jill. (link)

notes

1. resource a; 'Gough Street steps' is a reference to define boundary of sub-district No. 2 'Sheong Wan' (Sheung Wan) in the 1850s
2. Plan of Victoria 1901, Sheet 10
3. resource a; also Hongkong Telegraph, 1905-5-13
4. a more suitable translation is staircase, instead of 'Ladder'

5. It was quite famous due to some court cases, re seamen. In one of them, it says :

     ...    the seaman made a bolt into the "Divers Arms". Complainant went
  into the public house after him, when the defendant told him no man had gone in his house,
  ... and he could not search the house without a warrant. Consequently he
  went out, and as he was doing so, the crowd shouted the man had jumped from the root of
  the house on to the Gough Street steps.
                                               Daily Press, 1872-4-6

6. '... Central Hotel which was situated at the corner of Gough Street Steps and Queen's Road' (c. 1910), as Old Hong Kong

resources

a. Gov't Gazette
b. Directories and Chronicles, various years e.g. 1864, 1870-80s 
c. Old Hong Kong, by Colonial (c. 1935)