Lets be clear, the 1911 is only illegal if it had a serial number, and that number has been removed. It could be the mythical "lunch box" pistol, made up before 1968, and if so, would be legal under the law as far as serial number is concerned.
It could have been made up on a homemade frame (again, before 68) un-numbered, and be legal as well.
Good luck on proving either one of those two...
IT looks heavily buffed, so its possible some ham handed refinisher polished off the visible markings. IF you can't find a number on the frame in some location, then the safest thing to do is contact a lawyer, and have them negotiate the surrender of the gun to the authorities. If that is the course you wind up having to take, I'd recommend stripping the gun to the frame, and surrendering that (which is legally the gun), getting a new legal replacement frame and putting the parts back together on it. That way, you still have a 1911. The way the law on this works, it assumes that if you have a gun with a defaced/removed serial #, that you are the one who did it. Buying it like that or inheriting it like that is not a defense. Generally you are allowed to surrender the illegal item, without prosecution, but you have to arrange for that, before you get caught with it. Otherwise, the hammer will come down on you. The money a lawyer will cost to cya is dirt cheap compared to the possible consequences. If you can't find a number on the frame anywhere, get a lawyer ASAP.
The Webley is clearly marked Mark VI, and appears to have been altered from the original .455 chambering. Note how the bottom of the numbers on the cylinder have been shaved off. This indicates the gun has been modified to take .45ACP brass in half moon clips. .45ACP AMMO is not to be fired in this gun! Even GI ball ammo is at proof pressure load for the Webley, and so should not be used. And NEVER anything hotter!
The Webley, as it now exists is made to run on handloads, using .45ACP cases loaded to Webley appropriate pressures. I have one, mfg 1917. Its a neat gun. .45 AR (auto rim) brass may work, or it may not. Some guns were shaved a bit more than others. Also note that some of the "least" shaved guns may still fire .455 ammo, others will not.
Can't help with the Smith, not my area, but others have covered it pretty well.
Good luck!