I think I need a little more information on your question, as http://www.wikitree.com/wiki/Crockett-704 David Crockett born 1786 in Maine is the son of Ephraim Crockett, born 1755 http://www.wikitree.com/wiki/Crockett-705 If are talking about David "Davy" Crockett, born 1786, http://www.wikitree.com/wiki/Crockett-311, then it does not seem like there is an easy connection.
Also, there is an Ephram Crockett born in 1766 with a brother named David born in 1768
