Thorburn was certainly delighted with the result that gave the Shoguns four points and took their unbeaten run to three games.
"It means a lot to me because it means so much to everyone involved with Bristol Shoguns," Thorburn told www.bristolshoguns.co.uk.
"I'm delighted for the players and the supporters and what today's win means to them. After the game an old guy – not much older than me – came up to me and he was elated. You could see the size of his smile."
The Shoguns started the 12th meeting between the two sides at the Rec without their highly-rated Argentine halfback duo of Felipe Contepomi and Agustin Pichot, who started on the bench, but began the match in determined form, centre Andrew Higgins crashing over following some excellent work from the Bristol midfield.
Shane Drahm converted the try to make it 7-0, but Bath were not ready to roll over without a fight on their home territory, Chris Malone slotting a penalty to narrow the visitors' lead after a Bristol infringement.
But Bristol hit back on the half-hour mark, Drahm kicking his first penalty to take his side into a 10-3 lead.
While Malone was able to kick another penalty in first-half injury time to make it 10-6, the Shoguns had the last word of the half with a well-worked try for fullback Lee Best.
Drahm slotted a an excellent wide conversion to give the visitors a 17-6 lead at the break.
The second-half saw Bath inching back into contention – first with an early penalty from Malone and then the home side were awarded a penalty try in the 53rd minute, an incident which saw Bristol skipper Garath Archer earning a ten-minute spell in the sin-bin.
Following Malone's simple conversion, he exchanged penalties with Drahm to set up a thrilling finish.
Malone missed with an ambitious long-range penalty some moments later and Bristol launched a counter-attack from their own half, hooker Paul Johnstone showing tremendous pace to peel off a maul and stride 20 metres to the tryline.
Drahm converted and, after with third successful penalty kick coming some minutes later, Bristol's victory was complete.
Bath:Tries: Penalty. Cons: Malone.Pens: Malone (4).
Bristol:Tries: Higgins, Best, JohnstoneCons: Drahm (3).Pens: Drahm (3).