First, using automotive feeler guages, check the clearance between the back of the cylinder and the breech face. If it falls in the range WR Moore lists (actually .062 to .070 as I recall since maximum rim thickness is .060 and there needs to be some clearance) then the problem lies with your ammunition, not the gun.
If the clearance is less than .060 then this can be fixed only two ways. First is replacement of the extractor. This is a factory fit part only and they may, or not, have one. Probably not. The second is to find a gunsmith that has a .38 Spl chamber reamer and have him deepen the rim-cut area of the extractor and cylinder a few thousandths until a .005 feeler guage will fit between a case head and the breech face.
There is one other thing that could be the problem. If you have been dry-firing the gun much this will develop a burr around the firing pin hole and the cases are catching on this burr. Inspect the firing pin bushing, and if it is burred it is easy to stone the burr off with a fine Aluminum Oxide (Corundum) stone.
My bets are actually on this last being the problem as the gun developing insufficient headspace during it's life are extremely unlikely. If it had, then it will have quite a bit of endshake.
And, BTW, you can get a feeler guage set at any auto parts store, but Harbor Freight sells them (.0015 to .025) for something like 98 cents.