You have been very helpful Steven. Thankyou.
The account in the naval biographical dictionary differs from Bowie's original report to Admiral Hallowell written 3 days after the event in that he says it was the french who blew up the gunboat. Either way, his coolheadedness saved him and his men. In the original report he also mentions the plight of civilians murdered on the opposite river bank by the french as he and his men escaped with the cart.
In your link to the United service magazine it relates the same version of events as the naval biography and mentions a court martial which acquitted Bowie, the judge praising his gallantry.
Many of these courts martials had their minutes printed and published. Do you know where I might look?