[4] In a stronger tournament, the British Chess Association Congress held at London 1885, he finished 4th with 10½/15, behind Isidor Gunsberg, Henry Edward Bird and Anthony Guest.

[6] In the British Chess Club Master Tourney (London 1886), he finished 5th of 8 players, scoring 3/7, behind Blackburne, Bird, Gunsberg, and James Mason.

[7] In the 2nd British Chess Federation Championship, also held at London 1886, he finished 10th of 13 players (4½/12), but had the consolation of handing tournament winner Blackburne one of his two losses.

[12] Pollock returned to Ireland to win the Irish Chess Association Masters tournament at Dublin 1885 with 9 out of 10 points.

One of the longest tournaments in history, this double round robin was intended to select a challenger for the world championship title held by William Steinitz.

In 1890, he won a match against Charles Moehle 7½–6½ in New York, took 2nd place at the St. Louis Chess Congress, and played in Chicago.

Later that year, Pollock represented Canada at the famous Hastings 1895 chess tournament, won by Harry Nelson Pillsbury.

[22] Pollock won the brilliancy prize for this scintillating victory over Max Weiss, who tied for first at the great New York 1889 tournament, which was intended to select a challenger for the world championship title then held by William Steinitz.