If the 7th Tennessee Cavalry (US) had a full compliment of flags they would have had the blue regimental colors and as many Stars & Stripes swallowtail guidons as they had companies (one for each company). So it is possible that some flags were destroyed and maybe one captured but from the accounts I am not sure which pattern of flag it might have been if one was indeed taken.
I like your essay on the flags and will be citing it for my book. Again, great job. You should consider publishing the work as there is a shortage of Union Tennessee regimentals.
Greg BIggs