... I'm shooting a Lyman 50cal great plains. It's been awhile on the twist. I believe it's the universal twist 1:48 if not mistaken. I've shot balls and patch and roughly same result. When I shoot I didnt put it on a stand I've been using a shooting stick......But the first shot always seems low and off plate. …..
AHA!
So a removeable barrel,
You get the same results with both round ball and conical,
and it
seems that you get a low flier.... when using a shooting stick...
There is a remote possibility that your barrel is not as tightly seated as it needs to be when you replace it after cleaning. I've seen it once before, and the first shot would seat the shooter's plains rifle barrel downwards but in so doing it also threw the first shot low too. It was tough to figure out as one expected the barrel to want to move up during recoil. I don't think that's necessarily what is happening with yours.
If you get the same results from both conical and patched round ball, and the results even when fouled from what you report, are not good, I think your patching and the base of the conical are as Brockennock wrote,
not completely filling the grooves in the barrel. IF only a few of the grooves are slightly too deep for your patching and the skirt of the conical, gas will only escape around a small portion of the circumference of the rear of the bullet.. This will then "push" the first shot off target, but the fouling will help to correct that in the subsequent shots.
Help to correct BUT not eliminate the problem....
The other thing it sounds like is a FUBAR barrel crown. IF the edge of the surface of the actual barrel is wrong, again, it will push the ball off target. That's pretty easy to correct, if it's that.
So, you will need some sort of table and something like sand bags or a stand to give you a consistent platform to test the rifle. Shooting sticks should be used in the field at this point.
You should try loading some .50 caliber wool wads between the powder and the patched ball. Same with the conical.
https://www.midsouthshooterssupply.com/item/001065000/50-caliber-lubed-wool-wads-(100-pack) Try it with one, and try it with a pair. They act as a gas seal, and I think may be the key to what you're after. I've also seen folks load 30 grains of cornmeal over the powder and under the conical, and I've seen folks load the cornmeal, followed by a lubed wool wad, and then load the bullet. See if that doesn't really tighten your groups.
LD