First, it's Carl Cunningham. Second, I've watched as many Woody Woodson videos as I can find and I have to believe he's playing a supra snare or even a Ludwig acrolite but not a Gretsch. The other drums appear to me to be a 20 inch bass drum primarily, but then again some of the videos I have seen are from Europe and a smaller bass drum would be more easily transported. Guessing Woody mostly used 20 and 18 inch zildjians--again, guessing, both probably medium thin, but it looks like a 22 inch in the Ready Steady Go performance.

Sure looks like an acrolite to me in this video (and a 20 and an 18)

[ame="https://www.youtube.com/watch?v=Azzk9bqkaeE"]Otis Redding - Mr. Pitiful (Live) - YouTube[/ame]

With Cunningham it was Ludwig, and again hard to say because I've only seen two clips of him performing live and in those days sometimes drummers did not set up their entire kit for a tv performance. It appears to me that in the Upbeat performance (the day before the plane crash) Carl is using just one 22 inch cymbal. Again, none of this is definitive and there isn't a whole lot of information on either of them (though Woody is still alive) but I hope this helps.

One more thing, after Otis, Woody played with Wilson Pickett and it's hard to see his drums in the Wilson Pickett performances I have seen but it's good to see those clips too--his snare drum is unmistakable

It appears&seems to be a Gretsch RB tangerine sparkle kit,

With 20" kick, 12" rack tom&14 possibly 16" floor tom,

Cymbals K Zildjians,

As they came with a Gretsch endorsement,

I'm referring to MR Elbert 'Woody" Woodson&NOT "Carl" NOT CAL cunningham.