There is a great amount on the capture of the flag of the 9th Texas Cavalry at Corinth in the "History of Fuller's Ohio Brigade," which has been, thankfully, reprinted now. The flag is also depicted not long after the war as a color plate in Mary Livermore's, "My Story of The War," also available as a repirnt (plates not in color there).
The flag is an ANV silk issue with 12 stars - and how it got out to the west is something we have not yet figured out. But the flag was vividly described at its capture. It retains the blood stains of the color bearer and captor, Pvt. Gould, 27th Ohio, who was wounded while taking it.
It was sent to Ohio, documented in the 1889 article on CW relics in the Ohio collection in the National Tribune and then, in 1972, mistakenly sent to Georgia as being the flag of the 1st Georgia Confederate Infantry, whose own flag was taken in the battles around Atlanta but is an AOT 1864 Augusta Depot flag (as detailed in the same 1889 NT article). That flag is missing sadly, and somehow the information for it got placed for the 9th Texas Cavalry's flag.
The 9th did have a Van Dorn battle flag but it was not used at Corinth and survives in private hands if I correctly recall.