Okay, wandered out to the workshop after work today. Popped in a 0.004" and a 0.003" shim between the apron and carriage and the movement was still a bit notchy.
Added a 0.001" shim and the notchiness went away.
Refitted the leadscrew, and leadscrew covers (coiled spiral thin springy steel tubes) and the covers, even when well lubricated, stick and make the feel of the handwheel inconsistent.
Took the leadscrew covers off.
All felt good with the handwheel. Plenty of clearance for the leadscrew around the half-nuts when not engaged.
So, I moved the carriage to the tailstock end and with fingers crossed and breath held, moved the tumbler for forward feed, engaged the half-nuts and switched on and slowly ran the rpm up to 300.
The leadscrew starts turning, carriage starts to move and the handwheel is turning as if it's being handled by the ghost of a long dead machinist. Turned the RPMs up to 600 and watched the carriage all the way along the bed. Nary a stutter; smooth all the way.
Now, there's been a full day/night cycle with temperature changes and I've messing around with the shimming and installing the leadscrew and testing so I fear checking but I give the carriage a bit of a rock. Still no play.
Success: the best recreational drug ever known; especially for an utter clumsy eejit newbie like me.
Next: fitting the cross slide and compound. I suspect I'll be buying some thrust bearings and machining the brackets to allow them to fit.