I recently found some information on the destruction of the CSS Ponchratrain. She was burned on September 10, 1863 on the North Little Rock side of the Arkansas river in advance of Union forces occupying Little Rock. In his book, "With the Light Guns in '61-'65" William E. Woodruff Jr; Maj, CSA (former Commander of Woodruff's Battery and/or Pulaski Light Artilley) writes the following:

While preparing to leave the city before it fell, I noticed a large amount of smoke coming from downtown. Fearing that they were firing the city I went to investigate. I went down to Markham and Main streets corner and discovered that the smoke was caused by the burning of the gun boat Ponchartrain (formerly the Lizzie Simmons) across the river and Captain John Brown's boat, The Little Rock at the south bank of the river just N/E of the State House.

Call it coincidence or irony, but it would appear that the Ponchratrain rests today under or very close to the present day Arkansas Inland Maritime Museum