P W B Semmens wrote a biography "Bill Hoole Engineman Extraordinary" (Ian Allan, 1974, ISBN 0 7110 0556 7) in which he reports a number of occasions when Bill Hoole was recorded as exceeding 100mph when driving A4s. In May 1959 the Stephenson Locomotive Society arranged a special train to mark their Golden Jubilee and as a tribute to the A4s and other steam locos as the diesels began to take over. "Sir Nigel Gresley" was chosen along with Bill Hoole, who had close associations with this loco. Discussions took place regarding the maximum speed the train was to be run at, and 110mph down Stoke Bank was allowed. The measured speed was actually 112mph.
But mention is also made in the book of a run in November 1955 with the 'Tyne-Tees Pullman', also hauled by Sir Nigel Gresley and driven by Bill Hoole, in which a speed of 117mph was possibly recorded.