The message from Mike Barnes contains these words:
Oh ye of little faith.
FYI I used Fugawi 1:50000, took the grid reference of Queensbury as SE09962 30999, Bradford City centre as SE16462 32939 and computed the difference by trig. The respective heights were 1139 feet and 330 feet. It so happens that I recorded the Queensbury grid reference incorrectly, must have nudged the cursor between reading the height and reading the reference, but it doesn't make much difference, 4 and 1/3 miles rather than 4.2 miles. The Queensbury reference should have been SE10067 30169.
As to height difference the figures above give 809 feet but moving off the main road in Queensbury it is easy enough to find higher ground.
1200 feet at the upper edge of Queensbury housing and 1227 feet a few hundred yards further on at the top of the hill in the hamlet of Mountain. In Bradford City centre within a few hundred yards of City Hall the ground drops to 312 feet so I could have with almost equal justification claimed a height difference of 900 feet at under 4.5 miles distance.