Indeed Woodward and his troops did as theyw ere at Parker's Crossroads.
But after Forrest's Brigade returns to Columbia things get murky as to who is where and when since the command is being refitted. Wheeler only takes about 800 of Forrest's men to the Cumberland River (and Forrest has to catch up with them) and I have never really seen what units, other than the Jordan & Pryor account, that go along.
I know that Woodward is till trying to build his 2nd/15th Kentucky Cavalry Regiment at this time.
Greg Biggs