The former City Hotel pictured in 2009 (copyright Google Street View). The building was demolished a couple of years later. The front steps still remain.
The City Hotel was situated at 37-39 Eskrick Street in the Brownlow Fold area of Bolton.
A beerhouse named the Eskrick Arms existed at 33-35 Eskrick Street and was certainly in existence at the time of the 1871 Census. By 1881, John Farnworth is at 33-35 Eskrick Street.
So did 33-35 Eskrick Street change its name from the Eskrick Arms to the City Arms? Although streets often renumbered their buildings it is more likely that number 33-35 became the shop at the corner of Darley Street and Eskrick Street.
Certainly the City Arms as shown on later maps was quite an imposing building – twice the size of those around it. By 1895 it was certainly known as such with an address of 39 Eskrick Street. Robert Bibby (1845-1900) was the landlord and Gordon Readyhough tells us that it was a home-brew pub at the end of the 19th century. 
After Robert Bibby’s death in 1900, his widow Maria remained at the pub. She married Ellis Greenhalgh, at 42 some ten years younger than her, in the spring of 1905. The couple were in Wordsworth Street by 1911.
By 1924 Thomas Clowes was the landlord of the City. He was in his mid-fifties and was a shopkeeper/fruiterer in Darley St in 1911 – possibly the building on the site of the old Eskrick Arms. The shop premises had previously been run by his father-in-law and were next door to the City. The greengrocers closed when Thomas Clowes left and was turned into a fish-and-chip shop.
Magees took over the City and it subsequently became a Greenalls pub following their takeover of Magees in 1958.
The original City Hotel was pulled down along with much of the surrounding area in 1968. However, Greenall’s were given planning permission to rebuild the pub. The new City Hotel opened later that year. It closed in 2008. There were plans for the premises to be converted into an Indian restaurant; however, those plans fell through and the building was demolished in 2011.