winchester tang sight

I presume you are adjusting windage? Short answer is to buy a Marbles. Seriously, I shim the base to adjust the windage. The problem with leaning the sight is the windage changes with elevation changes. The Marbles with windage adjustments is a much better choice although more pricey.
 
Are you asking about how to make the staff stand up straight, at a right angle with the bore? They sometimes lean forward or backward a bit, and may or may not permit correction. If that is the case, you may have to contact the manufacturer for instructions or replacement.

PRD1 - mhb - MIke
 
I assume the OP means windage.
Per suggestion above (and my own experience), use a small aluminum shim cut from a soda can.
 
I assume the OP means windage.
Per suggestion above (and my own experience), use a small aluminum shim cut from a soda can.

I've seen both conditions of the staff out of vertical - leaning either fore or aft, or left or right. The shimming method works for the latter condition, but probably not for the former. The OP will have to clarify the nature of the problem, to permit correct advice on how to fix it.

PRD1 - mhb - MIke
 
I assumed the OP meant alignment, the staff perpendicular to the line of sight.

I corrected windage on a sporting tang sight with a drink can shim, too. But as I got more serious, I replaced it with a Soule vernier sight.
 
Drift the front sight accordingly for windage. I have one on a built in 1896 model 94 38-55 and she shoots well.
Two of the three rifles I have tang sights on are Winchester 92 carbines which don’t have dovetailed front sights. Leaning the Lyman tang sight is the only way to adjust windage.
 
Get some brass shim stock assortment and cut a strip to place under one side of the sight base. Note that barrels are sometimes slightly rotated, not square with the action, not straight, slop on tang screw, slightly bent or misfitted upper/lower tang, and other imperfections on experienced old guns. Any of these can move the post out of alignment with the bore/tang aperture even if the sight is straight. So some experimentation is usually needed.
 
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