I know of at least one commercial make of centre steady, Robert Sorby on the Stiles and Bates site, others may be available. Too much money for me, and also I have a cast bed lathe so I don't know how it would fit. Someone here may have done that. Interesting to note the wheel position on the Robert Sorby one though, three wheels 90 degrees apart, rather than the three wheels at 120 degrees than most of the home made ones go for.
Also have a search for the magsteady, David Reed Smith. Interesting idea for an additional steady, perhaps use between the centre steady and the end away from the cutting area to tune out the vibes, or perhaps behind the cutting area instead of having fingers on the spinning wood. I will also try to make with the spare wheels left over from the roller blades. By chance the magnetic base just arrived this afternoon, less than 11 quid off an auction site, sticks very well to my lathe bed, turn the switch and it sticks, very easy to set up. Now just need those rollerblade wheels.
Point is well taken from Spindle, use a chuck one end and centre with the tailstock, putting the workpiece in compression will make things worse.
Cheers, Eric