I would have thought on a 62' era kit the rail would have the two mounting screws on the top.
My blue sparkle super classic kit with August '59 date stamps has a maple 22, with the rest of the drums mahogany inner ply. Don't have a pic handy, but will try to remember to get one soon.As mentioned earlier, I've never seen a transition badge bass drum with anything but a mahogany interior.
The seller did specify that the drums were re-wrapped and you can tell that they were in person. When you take off the heads the remanence of the original wrap is visible inside of the shell seams. The re-wrap job is not the best, but not terrible.Clear maple interior on a 1962 bass drum is totally legit. Ludwig was painting the insides of toms by late 1960 or so. I had a silver sparkle super classic once that was dated April of 1963 and the toms were white inside and the bass drum was clear maple. I have not, however seen a transition badge on a drum as late as 1962. Did the seller tell you that the set was re-wrapped? WFL offered the option to do a black wrap in the 50's and for years I was always confused by it as I never saw it on a catalog and wondered why they would just randomly offer black wrap. Several years ago someone on one of these forums posted an old letter from Ludwig that explained that in order to do black wrap, they would flip over the black pearl wrap as it had a black backing on it.
That rail on your set is definitely a 1962 style rail and it is positioned in the spot where a rail would be from 1962. WFL rails and Transition badge drums used a two bolt rail much like what Gretsch used. The four hole rail appeared possibly 59 early 60. It's a nice looking set but it sounds like some trickery might have been put on you. It's impossible for me to say that though as I don't know how the original ad was worded.
The wrap does not go inside of the plies. When I take the heads off of all of the drums, they all have remanence or the original wrap inside of the shell seam.The four bolt rail was in place by 1961 but I have never seen a transition badge on a bass drum that late. Certainly anything is possible but that badge on a bass drum that seems otherwise correct for 1962 is also throwing me off. Truth be told I'm not sure I have seen black wrap on an early 60's bass drum either. As I mentioned earlier I know that WFL was able to flip over the BDP wrap to get black but I think the wrap changed in the 60's and there was no black on the reverse side. Something is very confusing to me. Maybe it's possible that if the drum is not a re-wrap, a black bass drum was made up with that badge, held until 1962 and then drilled and date stamped in 1962? That could explain a late 50's looking drum with a 1962 date and the later rail? Does the wrap go into the shell plies?