First of all, Callaway saw Oswald run by with a gun in his hands and wearing an Eisenhower-type jacket moments after the shooting, not minutes.
Oh brother. How many "moments" are in a minute? When did Callaway ever say "moments" anyway?
Anyway, Markham saw Oswald shoot Tippit. Scoggins saw the same man that Markham saw. Scoggins saw this man run from Tippit's patrol car towards Patton, cut across the Davis lawn and head down Patton towards Jefferson. Both Barbara Davis and Virginia Davis saw the same man that Scoggins saw. The Davis sisters saw this man cut across their lawn and turn the corner onto Patton. Callaway saw the same man coming from Tenth, cutting through the Davis yard towards Scoggins hiding beside his cab, running down Patton with a gun in his hands.
Correction:
Markham saw a man shoot Tippit who she identified as Oswald in an unfair lineup.
Scoggins saw a man going south on Patton who he identified as Oswald in an unfair lineup.
The Davis sisters-in-law saw a man going across their lawn who they identified as Oswald in an unfair lineup.
Callaway saw a man running south on Patton who he identified as Oswald in an unfair lineup.
That doesn't necessarily mean that they all saw Oswald or that they even saw the same man.