Yes, wobble is normal, and there is little you can do about it. Strength training will make your arms stronger, but it won't help get rid of the wobble.
To deal with that, first, stand at the firing line facing the target over your left shoulder, if you are right handed. Bring the gun to your shoulder, and mount the buttplate where you feel it is comfortable for shooting. Some guns have to be mounted on the upper arm, while others can be tucked into the pocket created when you lift your right elbow to 90 degrees. Put your sights on the target, and then close your eyes. Count to five, and open your eyes. See where your front site is now in relation to the target you were aiming at. Move your right foot left or right to bring the front sight of the gun back on to the target. Rest your arms, take deep breathes and exhales, rotate your neck to loosen those muscles, and dump the lactic acid that has built up in your muscles while you were holding the gun on target. When you are relaxed again, mount the gun to your shoulder again, close your eyes, count to 5, open, and see again where the front sight is in relation to the target. Your muscles will be seeking balance or equilibrium with each other while you have your eyes closed. A proper stance will have the muscles in balance, and that will limit muscle fatigue, when you are shooting. It also occurs when your stance has the weight of the gun being supported by your bones, and not major and minor muscles.
When you think you have the sights pointed on target, and you can pass the eyes closed, count to 5 test, then adjust the width of your stance, by moving your feet so they are just wider than your shoulders, and pitched slightly outward. For most shooters, that give the best, and most stable platform. Much of the wobble of your sights will now be reduced by taking a correct stance.
Now, no one can hold a rifle on target absolutely still, unless he is using a bench rest with bags for both front and back of the stock. If you are shooting off-hand, you are going to wobble. The secret is to make the wobble work FOT You, and not
against you. Here's how:
Since the sight is going to wobble back and forth, why not use your fine muscles in your left hand to make the sight move in a " Lazy Figure 8" , or an arc, like the swinging of a pendulum? Then, when the sight is coming to the 6 o'clock position, you can be prepared to fire the gun. With flintlocks, this requires some allowance for the lock time for your gun. Depending on how fast your " wobble " is, you begin your squeeze so that the sights are on the 6 o'clock position of your target when the sights reach that point in the " wobble". Sounds easier than it is. Practice. That is how the good shooters become great shooters. There were men in my local club who shot percussion guns who were ready to chew on the barrels of their guns because I was beating them shooting my flintlock. I used this same technique when I was shooting percussion, too., but they thought this had something to do with me shooting flint. NOT! If your feet are feeling strain, your stance is not comfortable, and it will be your enemy. Adjust your feet so that you are always comfortable, but also check to see that you are still on target, without straining your neck muscles, or anything else. With practice, you will be able to take a stance quickly, and be ready to fire, without having to check to see that you are pointing the gun correctly. You will be able to feel when you are on. That is why you won't see me, or other older shooters going through the exercise I describe above for you to use at first. We have done this so long, we know how to take a steady and comfortable stance. But, watch us, If we see our shooting scores start to tumble, we will be seen checking fundamentals again, and that will include doing this stance exercise.
BTW, when I am shooting a shotgun, I face the target at about a 45degree angle, keep my feet under my shoulders, like I was going to dribble a basketball, and move my weight onto my forward hip before calling for a target. The closed stance allows me to pivot with my whole body, and not just from the waist up. By shifting my weight to my forward hip, I can quickly move in either direction to " catch up" to the bird and break it with my pattern. Many rifle shooters are terrible shotgun shooters simply because they don't understand the reason for, or the need to take a different stance.
Im left handed and it is a left handed gun.
