Found this on wikipedia imalko.
The Bonnie Blue Flag, a single white star on a blue field, was the flag of the short-lived Republic of West Florida.[1] In September 1810, settlers in the Spanish territory of West Florida revolted against the Spanish government and proclaimed an independent republic. The Bonnie Blue Flag was raised at the Spanish fort in Baton Rouge on September 23, 1810. On December 6, 1810, West Florida was annexed by the United States and the republic ceased to exist, after a life of 74 days.
In 1836, The Bonnie Blue served as the inspiration for the first flag of the Republic of Texas, known as the Burnet Flag. It was replaced in 1839 by the currently used Lone Star Flag, which also bears a single star.