Any and all units of the continental army around they bayou areas. Links appreciated also.
Louisiana was Spanish during the American Revolution, and Spain declared war on Britain in 1779, so they were American allies.
East and West Florida were British colonies at the time of the Revolution. Although they were invited to send delegates to the Continental Congress, they declined, and remained loyal to Britain.
There was raiding by both sides along the Florida Georgia border during the revolution, and the Americans launched two invasions into West Florida (West Florida extended at that time all the way west to the Mississippi River, including the coastal strips of what is now Alabama and Mississippi).
The first invasion, in 1777, included 400 American Continental Army Troops under the command of Lt. Colonel Samuel Elbert. The invasion also included numbers of Georgia militia. The first invasion was defeated by British troops and loyalist militias at the Battle of Thomas Creek.
The second invasion, in 1778, saw Colonel Elbert back again, this time with 300 Continental Soldiers, being transported south on ships. This invasion was defeated at the Battle of Alligator Bridge.
These soldiers commanded by Colonel Elbert were the only Continental Army troops deployed in battle (as far as I can find) on the Southern front. I don't know what unit they were designated as.
East and West Florida were both eventually captured by Spanish Armies, supported by naval units, in a series of battles and the sieges of Mobile, Pensacola, and St. Augustine.
The Spanish managed to attack Florida with far greater numbers than the Americans had been able to mobilize in this theater. There were circa 8,000 Spanish troops, plus Spanish and French warships, involved in the siege of Pensacola.
Some of the Spanish troops involved in the successful conquest of West Florida came from Louisiana (others came from Cuba and other Spanish American possessions). There were said to be Cajun units in the Spanish Army (refugees from the British expulsion of French settlers in Acadia (Nova Scotia) during the Seven Years War), so some of these may have come from the Bayou country.
In the Peace Treaty at the end of the Revolution, East and West Florida became Spanish Territories. (They had originally been Spanish Territories, but Britain had conquered them during the Seven Years War.)
Sources:
http://www.exploresouthernhistory.com/staugustinerevolution.html
Louisiana was a Spanish territory at the time of the American Revolution. There would not have been any continental army units in that area. The southernmost action of the war involving regulars was probably the Siege of Savannah, in Georgia.