Ramsdell batted first and made 94-4 from 16 overs thanks to Dave Monger (46) and Gary Clark (36).
In reply, Hook reached 66-1 off nine overs thanks to Keith Lovelock’s excellent knock of 53 not out. The veteran also took 2-24 in the Ramsdell innings, as his side won the game on countback.
The final first round matches in the competition are played next week at May’s Bounty, where Oakley face Chawton on Monday and Dummer and St Mary’s do battle the following night.
Second round draw
Hartley Wintney v Whitchurch (Monday June 23), Eversley v Ropley (Tuesday June 24), Basingstoke and North Hants v East Woodhay (Monday June 30), Hook & Newnham Basics A v RNA Sports (Monday July 7), Odiham & Greywell v Hook & Newnham Basics B (Monday July 14), Yateley v Dummer or St Mary’s (Tuesday July 22), Old Basing v Oakley or Chawton (Wednesday July 23), Stratfield Turgis v Basingstoke Hockey (Monday July 28).