Today, the land described in the mid-19th century as "Island Number Ten", as is the case with many of the islands of the Lower Mississippi, no longer really exists. Some of what constituted it is now part of the floodplain near New Madrid, Missouri as the river's channel changed; the bulk of it has simply been eroded away. For this reason, the Battle of Island Number Ten monument, which references this fact, is located on State Route 22 approximately three miles north of Tiptonville; the cemetery where some of the combatants were interred is across the river in Missouri.
The Corps of Engineers came along later and began dredging many of the tributaries in the Mississippi Delta. I don't know if they dredged the Mississippi River unless to clear of sand bars and debris.