Between 1842 and 1845 the government of the Texas
Republic met again at Washington-on-the-Brazos and in Houston before
returning to Austin. In 1850, after Texas joined the United States, the
state Legislature appropriated money for a more permanent capitol on the
original site of Capitol Square where the capitol is today. The new
capitol, built of native limestone and finished in 1853, housed the
state Legislature for more than a quarter century.
Source: Austin History Center; State Preservation Board. (full source)