Which fate did Davy Crockett have at the Alamo, according to Mexican colonel Jose Enrique de la Pena

In 1955, a book of his memoirs of the battle was published. The memoirs are controversial in that they said that Davy Crockett did not die fighting (as is the common belief), but instead surrendered (along with his Tennessee boys) during the battle of the Alamo and was later executed.