Your lathe may be turning a taper because it is clamped down in such a way that the bed is twisted.
It is an expensive and sophisticated machine, so it well worth spending time and effort to set it up properly.
The time spent will be pay dividends for the rest of the time that you have the lathe..
If the bed is twisted, the lathe never will turn parallel, so this is the first thing to check and correct.
The method is is explained on pages 27 and 28 of Ian Bradley's "The Amateur's Workshop", in the Myford Series 7 manual (Also by Ian Bradley ) and in other books, ,being known as "Rollie's Dad's Method"
At this stage, this does not involve the Tailstock, .
Once any twist has been removed from the bed , THEN you can start checking Headstock alignment, IF it needs it. Probably not.
Once the lathe is "levelled" and capable of turning parallel any sturdy piece of metal (1" diameter NOT slender )
Slender material will bend away from the tool, especially if the tool is not sharp (High Speed Steel, NOT carbide tipped, because ordinary, moulded carbide tips are not sharp! ) or is not mounted on centre height.
You can tell if the tool is on centre height.
If it is not, it will, leave a "pip" in the middle of the work. The diameter of the nip will show how how far off centre the tool is.
Correct this, by shimming the tool (Add shims under the tool if it is low, remove if it is high ) before dong anything else. Biscuit tins, or other tin cans,( NOT corrugated ones! ) are about 0.010" thick.
Once the tool is at centre height, you can, if you still need to check Headstock alignment , use an Alignment Bar.
This will have a Morse Taper. The female taper in the spindle is 5 MT, so you will, need a 5-3 MT reducing sleeve (One would have been supplied with the lathe originally )
Do NOT grip the bar in a chuck, either 3 or 4 ,jaw, The jaws may not hold work on the axis of the lathe.
(This may not matter for normal turning work, since the surface produced will clean up and be parallel to the lathe axis, in the same way that the eccentricity from a 3 jaw chuck will be taken out by any cut which exceeds the eccentricity ). But don't worry about that now!..
Make sure that all the tapers are clean and undamaged. If any burrs are present, gently remove them with a stone or diamond file Diamond files will remove metal VERY rapidly, so take only a few strokes before checking.
Once the Alignment Bar is in place, a D T I, mounted on the Saddle, at centre height, can be used to check for alignment. You will need a DTI, and some means of mounting it on the Saddle. Often the method used is to mount on a Magnetic base.
You will need these things when mounting work in the 4 Jaw chuck, in the future, anyway.
The Headstock is unlikely to be out of line.
IF it is, try to obtain skilled help to correct it. Get it wrong, and you might make the machine worse, and worthless!
If you cannot buy or borrow an Alignment Bar, you can make your own. If you want to do this, PM, and I will explain how to go about it. Obviously the work needs to be precise.
Again, this where being a member of a M E Society will help by hopefully finding someone prepared to help you.
Once you are happy with things, THEN, you can check Tailstock alignment, BETWEEN centres.
The taistock centre should be the hardened one, and undamaged,.
The centre for the Headstock will be the soft one. The first job is to offset the Top Slide by 30 mdegrees and take a very light skim off it, to clean it up. Once this is done, leave it in the Headstock, and mount your Alignment Bar between centtres and check, with the DTI mounted on the Saddle check Tailstock alignment.
If the Tailstock is misaligned, use the two adjusting screws to rest until the DTI reads Zero at both ends of the bar.
Again, if you are unsure; get skilled help.
If you say where you are, if you cannot get help from a local club member, it might be that some one on here might be be close enough, and prepared come an help and advise you.
HTH
Howard