Hi Cecil,
You've been given sound advise to check on various things. Notably, a twisted bed must be corrected before you go further. Use a good 3' level on and across the bed to make sure it's dead nuts level before going further. Yes, the 1236's bolt-together frame is a challenge to keep straight.
Having turned on a 1236 as my first lathe, it was a learning experience in a number of ways.
Your alignment issue is common, and while the 1236 is hardly a precision-crafted tool there are some things you can do to make it behave much better.
First, (after you plumb the bed) you must clean and true up your morse tapers in both head and tail stocks. Bumps, galls, dirt, etm. on those surfaces will trash all efforts to get them aligned on the same axis. So, start with a close visual inspection by putting a light source at each open end and looking into the taper opening, you'll be able to see nicks scratches and bumps (galls) that will keep your centers and spur drives off center, no matter what you do. If you have an AAW Chapter near you, go to a meeting, join, and see if they have a No. 2 morse taper reamer for loan. Carefully reaming your tapers (by hand ONLY) will make a world of difference. If they don't have one, see if you can make friends with a friendly machine shop so you can borrow theirs. If that fails, for $24 you can get one from ENCO.com.
Also ask the Chapter if they have one of these:
http://www.rockler.com/nova-acrulin..._campaign=PL&gclid=CP7Jyuven7wCFSUS7AodZzoAzQ
The double-end taper alignment tool is the one sure way to get your head and tail stocks dead nuts true with each other. If you will use your 1236 with the headstock rotated toward the outboard, buy your own alignment tool to be able to keep your machine properly set.
The 1236 tailstock may, as mentioned, have a bit of slop in the bedways. While it's a crap shoot as to which way to go, you can mostly eliminate that slop with the application of a strip of aluminum HVAC tape on one side or the other in the tailstock casting's tongue that fits down into the bed gap. (Works really well in table saw miter gauges as well)
Lastly, form a habit of cleaning your tapers before inserting and after removing a center or drive. Get a TaperMate from Packard [
http://www.packardwoodworks.com/Mer...packard&Category_Code=lathes-acc-tapacc-tapmt ] to keep the dust and grit of turning from damaging these precision-made surfaces that are the key to your machine's accuracy.