Reeve played in four Varsity matches, two of them on board one. In 1930 he was the man who won his Cantab opponent's queen on move 11. Coincidentally, the same disaster had befallen the Cantab board one the previous year, when Gerald Abrahams had also won Milner-Barry's queen. Both ill-fated consorts had occupied the same square - g3. The 1929 cheapo had been a fork, that of 1930 a pin. Alexander told the story in Chess Treasury of the Air and I mentioned it in a CHESS article some time ago.
Alexander, Chess Treasury of the Air, Penguin, 1966, p232 wrote:"In two successive years the Cambridge top board lost his queen in the opening, on the same square, g3. In [1929], Milner-Barry with his Q on g3 played 0-0; and about one second later a shattering bang announced the fact that the exuberant Abrahams had played Ne2+; and in [1930], RL Mitchell (no doubt remembering this disastrous castling) played f2-f4 when his queen was on g3; whereupon Black played Bh4 pinning the queen on the king."
Reeve-Jackson, 1931, was played in round 8 (source: Manchester Guardian). I have updated the BritBase with all the data provided here, many thanks to Richard and Brian.