According to USFlag.org, any state flag can be flown at the same height as long as the U.S. flag is on the right. There does not exist anywhere in U.S. or Texas flag code -- nor is there any law -- that states Texas has any special privileges for its flag (that's an urban legend).
"When flown with flags of states, communities, or societies on separate flag poles which are of the same height and in a straight line, the flag of the United States is always placed in the position of honor, to its own right.
...The other flags may be smaller but none may be larger.
...No other flag ever should be placed above it.
...The flag of the United States is always the first flag raised and the last to be lowered."
The Snopes site below has more information as well:
http://www.snopes.com/history/american/texasflag.asp
When displaying the Texas flag alongside the American flag, the Texas flag should be flown at the same height or higher than the American flag. If displayed on a single pole, the American flag should be at the top, with the Texas flag below it. When displayed on separate poles, the Texas flag can be positioned to the right of the American flag when facing the flags. This positioning honors the Texas flag's status as a state flag while maintaining respect for the national flag.
The rule is that the American flag has to be higher up than the Canadian flag.
No flag can be flown the American flag when on American soil.
The American Flag always has precedence by flying higher than other flags .
According to the US Flag Code, the US Flag should be larger in size and (if flying on the same pole), at the top of the pole. If flying the American flag with a state flag, the American flag needs to be on a taller pole than the state flag and displayed on the flag's right side. If flying them on poles of equal size, then flying the American flag on the flag's right side is correct.
The American Flag should always be flown higher than the state flag and should be flown a half-mast when in peril or in rememberance.
I don't know about other States or territories but the Texas flag is supposed to be flown at the same height as the U.S. flag.
It has been called, "Star and Bar", referring to the appearance of the flag, but there are no official names other than The Texas State Flag
If it is in Ireland, a country's flag is always flown higher than flags of other country's and any other flag.
When it is displayed from the same flagpole with another flag - of a state, community, society or Scout unit - the flag of the United States must always be at the top except that the church pennant may be flown above the flag during church services for Navy personnel when conducted by a Naval chaplain on a ship at sea. http://www.usflag.org/flagetiquette.html
yes
Yes. An American flag is an American flag it doesn't matter where it was made. Understand that there is a major China-US relationship which is why we buy American flags from China. It is cheaper than producing them domestically.