Help needed re Chinese lathe saddle adjustment

[Swarf_Newbie]

As title............ chinese lathe now displaying signs of actually being used!
Saddle has sideways play in it, the only adjustment are the cap bolts underneath that can be tightened or loosened.(no gibs).
So side play not removeable?

I'm thinking spring plunger screws....drilled/tapped sideways into saddle below(imagine drilled and tapped hole in white in pic) bed for small amounts of adjustment, am I onto a winner here? or just wasting my time??
Pic.....





Sorry about the crap around saddle/lead screw...it's been hammered, hence the above question.