The top mounting plate is known as an entablature which carries the cylinders, valve chests and throttle/reversing mechanism.
This should be rigidly fixed in relation to the crankshaft... i.e. screwed firmly to the top of the 4 columns... if it is not, then it will play havoc with piston rod to con-rod alignment, cylinder to crankshaft alignment eccentric rod to piston valve alignment and valve timing events... all of which are critical.
It would seem that the columns, in this case, are TOO SHORT, and i suspect that when your bolts are fully tightened the piston is hitting the top of the cylinder... making it a non runner.
By loosening the bolts, the springs effectively increase the column length by a small amount, thus giving clearance for the piston at the top of its stroke.
This movement will also affect the piston valve timing (steam valve) as this is also derived from an eccentric on the crankshaft.
I would suggest that you replace the springs with a suitable number of washers to achieve the required clearance and then screw the entablature down firmly... this will result in a much steadier running... with the entablature bouncing around on springs you are inviting severe damage to your pistons, cylinders, con-rods, piston valves and linkage and the crankshaft.
I cannot believe that a manufacturer of steam engines would have ever considered producing an engine built this way... are you sure it is an original?... it looks more like someone has cobbled together a twin out of a couple of single cylinder engines and mis-calculated the required column length.
Hope you can get it sorted out properly.
Best Regards.
AlexC