On the gap between frog face and cutting iron - D_W says this is desirable. I beg to differ, at least in the case of thin cutting irons. With thicker cutters, having far more stiffness, it doesn't matter much.
In a Bailey-type plane, the lever cap applies pressure to the cap-iron at the top of the frog, trapping cap-iron and cutting iron against the frog casting, and to the hump of the cap-iron near it's lower end. The cap-iron transfers this pressure to a line across the cutting iron very near the cutting edge, and at the top of the frog.
Thus, the cutting iron is trapped at the top of the frog, and has a force exerted on it's flat face near the cutting edge. The back of the iron contacts either the plane's sole casting, or the bottom front edge of the frog casting, and the force from the cap-iron pivots it about that point. Because it's fairly flexible, the unrestrained part of the iron lifts off the frog face, giving the gap mentioned earlier in the thread.
When the plane contacts wood, the cutting edge is driven backwards and slightly downwards, pivotting on the back of the bevel, and causing the cutting iron to bend even more between bevel and top of frog. When the cutting edge hits a particularly hard spot, it bends down and back even more than before, causing even more of a bend in the body of the blade, tensing it like a flat spring. When the energy in this flat spring builds up enough, it suddenly releases by flicking the cutting edge up and forward. The cutting edge then digs in again, and the cycle repeats.
Those familiar with chatter will know that it manifests itself with a jarring high-pitched skrawking noise, and a mass of parallel fine lines across the workpiece about 1/16" apart or a bit closer.
However, if the cap-iron is modified such that it traps the body of the cutting iron against the frog surface, taking out most of it's flexibility and preventing it acting like the flat spring described, chatter ceases. The cutting edge may still bend down a little, but can't go as far into the wood surface because the whole system is much more rigid. And THAT is what Bailey's patent calls for - pressure from the cap-iron not just at the cutting edge and the top of the frog, but near the base of the frog casting as well. The Record Stay-Set and Clifton two-piece cap-irons do the same thing, and the modern flat, heavy cap-irons do something very similar by preventing the iron from fluttering between bevel and top of frog.
The standard Bailey thin iron works with it's proper patent cap-iron, but is just a little bit too flexible with the pressed thin cap-iron most are fitted with. If made to the Bailey patent, it would be a stiffer, more rigid plane.