Sir,
While the European powers you mention did impact what was locally available gun wise, the English & French were the major players in the 18th Cen. deer skin trade economy, the Spanish not so much.Based on archaeological evidence, the predominate gun parts found through out Alabama village sites are English in manufacture(these are usually Carolina gun parts). Even at Fort Toulouse a French fort....it becomes evident that compared to the arms the French are able to supply is small by the amount of English arms. In the dig report by Greg Waselkov of Fort Toulouse he mentions a ratio of 2:1 English gun parts to French. This stuck me as odd at first but the French were repairing guns for the Creeks as an act of good will. While I do not discount the that the French & the Spanish to a lesser degree did produce guns for the local population(for that matter the French were also importing Liege guns...these are usually identified as Fusil Fin....there is an original at the Selma Old Depot museum, dug by David Chase), the archaeology supports English guns as being the most prevalent. So when the gentleman asked to a "Alabama smoothbore" yes other guns are possible but I was recommending what was numbers wise most "common". If you decide to move past 1763 for a target date, your area becomes known as British West Florida. One of the predominate trading company's is Panton, Leslie & Company( An English trading company)...so the French connection seems to end at that point.
The English just had a stronger economic base so they were able to supply goods(trade goods, guns) when the French were not. There is a letter written to warn English traders to not trade with the pro-French tribe the "Alabama's" because the English government felt the Alabama's were acting as middle men and were using them as a vehicle to receive black market English trade goods. This is just one example of the woes of the French in trying to compete with English in keeping their allies happy & supplied.
Have a good day,
David
