While most battle flags were square, The Army of Tennessee Battle Flag is identical to the Naval Jack.
Not all were. I've seen some that were square, but point well taken.
The flag commonly used in the Southeastern Department (Florida, Georgia, maybe SC) was identical to the Tennessee Battle Flag and the jack.
Moreover, while a number of heterodox patterns were used west of the Mississippi, an example saved from Jo Shelby's command when he crossed the Rio Grande and sank his colors in the river when he crossed (a color sergeant retrieved his) was of the same pattern as the Tennessee flag and included the white fimbrations (often missing in the West) and 13 stars. It was a cavalry color and so may have been square, or nearly so -- I don't know about that detail.