Adding slightly to what Tim Harding has written, I have seen references to William - and the abbreviation Wm. - Nicholls belonging to Londonderry Chess Club (founded 1887) in the time-period mentioned by Tim.
Below, some contemporary reports from various Irish newspapers confirming the death of William Nicholls in 1932 - and his occupation as an inspector of schools, as already mentioned by Jon D'Souza-Eva. Plus some further biographical information.
Nicholls (Dublin)-April 11, 1932, at his residence, Summerville House, 174 Clontarf Road. William Nicholls, ex-Inspector of National Schools, in his 95th year. Funeral Thursday.
[Evening Herald, Tuesday 12 April 1932, page 3]
The funeral of Mr. Wm. Nicholls, aged 94, who was for 40 years Inspector of Schools and retired 30 years ago, took place yesterday from 174 Clontarf Road to Mount Jerome Cemetery .... The late Mr, Nicholls was a member of Dublin Chess Club.
[Irish Press, Friday 15 April 193, page 5]
A meeting of the Managing Committee of the Dublin Chess Club was held on 15th June at Lincoln Place .... A vote of thanks was passed to Miss N. Nicholls for kindly presenting a large selection of chess literature, together with a box of chessmen and board, the property of her late father, Mr. Wm. Nicholls, who was associated with the club for a great many years.
[Evening Herald, Saturday 2 July 1932, page 5]
This year Dublin Chess Club celebrated its sixty-sixth annual general meeting .... The club has lost heavily in the past year by the deaths of Sir Horace Plunkett, who had been president from 1904 to 1923; Mr. Philip Baker, several times champion of Ireland; and Mr. William Nichols [sic], M.A., who attained the age of 95.
[Irish Independent, Wednesday 23 November 1932, page 14]
Professor Luce's "A History of the Dublin Chess Club" (at page 43) notes that Nicholls joined the Club in 1892 and was its Honorary Secretary in 1908.