Hi Jan/Gents
For info to those whom may be new to the sport of "measuring twice and cutting once"
I've just refurbed a ML7 (1954) once rebuilt I found a similar thing, when I checked the center alighnment from Chuck Spindle to Tailstock Spindle, these where out of line and hence the tapering, I corrected this with the use of two small capacity MT2 tapered chucks (0-10mm opening) one inserted in each spindle both with a small sewing needle in, brought the two points almost together and adjusted the tailstock adjustment screws to compensate which solved the mis-alignment cross the bed, the then problem I encountered was height needle to needle which appeared to be 0.009" low at the tailstock, I parted and shimmed the front edge of the tailstock between the foot plate section and spindle casting with two 4mm wide strips cut from an old beer can which 0.0045" thick across the whole width of the tailstock, I then rechecked ( sherlockholmes magnifying glass and a small torch) with the needles by moving the tailstock backwards at intervals until tailstock was fully extended, at fully extended the needles just started to glance tailstock downwards (don't know how to quantify this deflection let alone measure it.
Next I re-intalled the chuck and with a piece of 5/8" barstock 18" long (already centered at both ends) fitted between chuck and tailstock dead center. I layout blued the bar down the surface nearest me, traveresed the saddle to the chuck end, with a ready centered cutting tool (on this occasion a radius ended one), I advanced the cross slide in until the tool tip barely touched the bar I then manualy rotated the bar backward and adjusted the tool in until it scuffed the bar surface with the saddle being engaged to the leadscrew, I then manualy turned the lead screw hand wheel sliding the saddle and in turn the cutting tool along the surface of the bar, which I felt at the points of bed mis-alignment the tool would attempt to deflect the bar or score deeply into it and at these points the distortion could be marked for accurate measurement, fortunately none of these deflections or scoring occured, when I reached the tailstock end of the bar I manualy turned the chuck backwards to see a similar scuff to the one at the chuck end and was satisfied that all was ok.
It's worth noting that I had initialy when re-fitting the head stock squared this by fitting the 7" back plate and using a set square verticaly up the plate to the bed surface and across the bedway to the plate, Also I have not yet required a spirit level nor wasted a bit of bar stock (which may come later when I plug it in).
I hope this will help with setting up without the need for expensive kit and complex three dimesional Trig
Bazza