Ken Legendre,
.
Herman M. Hall, who is looking at the original photo, agrees with you.
.
Quoting Herman M. Hall:
.
Patti, I don't think that the flag on left is the Second Confedrate Flag, because on the picture that was scanned and sent to you does shows the writing on the flag, which the second did not have. All that I can make out on the flag are the words "McCulloch Camp ---- UCV".

http://www.bourlandcivilwar.com/McCullochCountyCivilWarVeterans.htm

Quoting Ken Legendre:
.
Patti, Look closely at the flag on the left. It is a Confederate Third National type. Note the red bar on the fly end of the flag. Both of these flags look much too pristine to be actual "war-time" flags. Probably belonged to the local UCV groups. Ken
.
Patti, prochette@Juno.com
.
.