Seamus Evans (pictured) had given Mark Glazier's side the first half advantage, but they were pegged back in the second and fell to a late winner.
Hook complete a season double over Liss, who leapfrog the Blues into sixth in the Hampshire Premier League - albeit with our three points for Paulsgrove's inability to field a side still to be formally added.
Liss also have a number of games in hand on some of those side above them, with eight left to play.
HAMPSHIRE PREMIER LEAGUE - TABLE
The first team go about matching the reserves in aiming for a cup final appearance of their own, as Andover Town visit Newman Collard on Saturday (March 29) in the George Mason Memorial Shield semi-final (2pm).