I resized some 22 Hornet cases for a Martini Cadet I had rebarreled to the Hornet.  Cases sized with a Lee Precision sizer would not chamber.  Found 2 CH sizers in my inventory and tried each, same problem.  Found my Redding sizer, problem more or less solved.  A few cases still seem to be expanded near the rim in the web area.  I suspect there is a chamfer at the mouth of the die that prevents the web from being resized enough.  Maybe 6 cases seem to have been fired in an oversize chamber and maybe from a hotter load.  I vaguely recall others mentioning chamber issues like this with their Hornet reloading efforts.  Have any of you had similar experience?  Am I correct in assuming some bolt or lever feeders have chambers wider in the area immediately in front of the rim?

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I have reloaded 22 Hornet for many years, for bolt and single shot rifles. I cannot say I have had your exact problem, as I have always started  with new brass, and it sounds like you might be using once fired??, but the 22 Hornet has been probably the most troublesome for me in the way of the brass cases. They are very thin in there construction and I have had problems with the wall web area thinning very quickly with hot loads and also had my one and only episode of a case head separation with the Hornet. Do not get me wrong I love the round and have several rifles chambered in it. It is just a learning curve in most instances. 
The problem you describe does sound like excessive stretching/expansion,Probably from excessive head space or like you stated maybe some sort of belling at the web juncture from an automatic?? but I am not a expert and do not claim to be.  I just know that the Hornet case is prone to this sort of thing.
New brass would be the way to if you can find it.

Might try removing the expander assembly so you can then push the cases back out?
And to then put something on top of the shell holder that would allow it, the case to now go deeper into the sizing die. 
And allot closer to the rim and allot further down on the Web.

If you look at cartridge and chamber dimensions, the chamber is very 'generous', one of the reasons why factory ammo usually is pretty lackluster - it just moves around in there.   
I like my Hornet, but never load to the max, necksize only and use a competition seater.  And yes, fired cases will have that ridge at the base.  Reamer manufacturers often make tighter chamber reamers for the .22 Hornet, which does help a lot.  But a factory chamber can be made to shoot IME.

Bent_ramrod thanks for the tip.  I was thinking of making a die to size the web only using a chucking reamer to match factory load dimensions.  The shellholder would be the easy way.  Thanks!

Had no trouble with new 6.5 X 50R cases in my little BSA Martini and as new 6.5 x 50R cases are hard to find where I live I bought a hundred once fired ? cases off the web and found the same  problem around the web and filed the top of the shell holder down to get more of the case into the shell holder.

Have never owned a 22 Hornet. But reading about the shell holder issues when resizing, I'm wondering if one of those old Lyman case resizing cylinders would solve that issue. The kind that are a simple cylinder bored out to case dimensions and have a large separate pin to punch out the case after it has been tapped in to resize. 
I find them occasionally at gun shows. Just sold a 22 Hornet set here with a set of 310 dies.
I've never used one myself. Has anyone here?

John

Thanks MartiniBelgian!  That's the cheapest solution yet.  Just up my alley!  I only have a few fat based Hornet cases identified and the cost of a die or altering one is greater than your idea.  Thanks again!