Can Texas legally fly the state flag at the same height as the US flag?

Answer 1

According to the U.S. flag code article 175 section F, the Texas flag, or any other state/local flag can be flown at the same height as the United States flag, as long as it is neither higher nor to the right of Old Glory.

Answer 2

That is just a legend.

This is a direct quote from

UNITED STATES CODE§175. Position and manner of display

f) When flags of States, cities, or localities, or pennants of societies are flown on the same halyard with the flag of the United States, the latter should always be at the peak. When the flags are flown from adjacent staffs, the flag of the United States should be hoisted first and lowered last. No such flag or pennant may be placed above the flag of the United States or to the United States flag's right.