As for Oswald walking east or west on Tenth, Jimmy Burt saw the eventual killer walking west on Tenth for almost a full block until encountered by the approaching patrol car.
William Scoggins was sitting in his cab eating his lunch. The cab was parked on Patton, facing north, right near the intersection with Tenth. If the killer was walking east for some distance, Scoggins should have seen him. Scoggins insisted the no one passed in front of his cab.
Scoggins is not proof that the man was not walking west to east, but it sure seems to me that Scoggins would have seen him. Same with Markham.