Yeah, to start off, how many drivers are there? Two or three? If two, then they are the original W60. If three, then see if they still have a port. If so, they are W60C's. No port, AND they still have the sand-filled rear panel, then W60D's. No sand-filled panel, then W60E's. That's the easiest way to tell.
The W60C has an early form of that purple tweeter (No cover on it like the later versions). The early W60D's had the same one, so remember the W60C is also ported (And to avoid confusion later, the larger W70C and W90C used a ceramic version of the old Super 3 cone-tweeter... The original W60 used a similar-sounding cone-tweeter based on the Super 5, which had been around for like a decade or more... The Super 3 is a better tweeter they reserved for their top-tier models like the W70, W90, Airedale, etc.). Anyway, back to the purple-colored mylar tweeter. It had three noticeably-different versions throughout that transition period after Gilbert Briggs retired. The first had no cover, the second version can be seen on the W*0D models. But if you want, go to my profile page, click on ALBUMS, amd check out the W60D pics I put up to see a shot with the grill off. Hard to explain the little black diffusor on there that aids with dispersion. And the W60E has a different-looking diffusor that covers even more of the tweeter. If you get to know the tweeters, it makes it easier to identify the speaker model.
The W60 models (ALL of them) can be placed vertically OR horizontally. I personally prefer horizontal, but either is fine. Just make sure the tweeter is at eye-level WHATEVER the placement. So that means that horizontal placement will have to be much-higher than if they were vertical/upright. Say 18-20" for upright and 25-30" for horizontal (resting on it's side). And if horizontal, make sure the tweeter is on the same side for both speakers. I have them on the left, but you can try either. Just remember what I said about always putting the tweeters at eye-level (ear-level).
By the way, when I removed the screws on the back of one of my W60's, the back didn't want to come out, so I left it there for a day or two with something to stop it if it fell out more than an inch or two, and then when I got back to it, it was loose.
So, getting back to the first paragraph, lets see if we can't determine exactly which version you have. Like Brian said, they did sell unfinished ones that people could stain/finish the wood themselves.