At the end of the morning session Cornwall were three matches down, with Taunton displaying great form.
Cornwall staged a determined fightback in the afternoon singles matches, winning 3 out of 4 - not enough to snatch victory.
Final result: Taunton 4 Cornwall 3.
The Cornwall team: Ian Wilson (8, Cap), Malcolm Hooper (9), Nigel Grant (12) and Tony Jennings (14).
The Taunton team: Derek Beard (5, Cap.), John De Winton (2.5), Roger Howe (6) and Tim Jolliff (7).