As per http://www.texasnavy.com/shiplist.htm:
Liberty - Sold in July 1836
Invincible - Wrecked
Brutus - Wrecked
Independence - Surrendered
Stephen F. Austin, Water Witch, Red River, and San Felipe preceded the official Navy. The first shot of the Texas Revolution was fired by San Felipe on 1 Sep 1835 when she fired on the Mexican RC CorreoMexicano.
Interesting bit of history I did not know till I researched your question.
That what you were looking for?