.41 rimfire cartridge or..?

[.455_Hunter]

Like .32 and .38 S&W, the .41 RF possessed entirely sufficient ballistics to bury itself in your torso and initiate a week long death spiral of misery and suffering. It didn't need to be able kill an Indian war pony at 100 yards, it just needed perforate your bowels at 3 yards.

 

[2152hq]

They kind of look like CF rounds to me.
The H headstamp looks like it is on a CF primer (?).
What would be the RimFire 'rim' looks kind of thin to be a RimFire rim perhaps..maybe,,?

Not a Bennet inside primed I wouldn't think.

Here's link to some cart collectors speak back and forth about some 41 CF short, extra short and other assorted minutia about the cartridge, who made what, when, catloged info, a few pics, etc.
They lost me in their collectors conversation but maybe there's something there that can be helpful in at least I'ding the name for the case length involved be it RF or CF.

Neat old stuff what ever it is.

.41 Extra Short Colt Centerfire - #18 by historian - General Ammunition Collector Discussion - International Ammunition Association Web Forum

 

[desi2358]

The OP's rounds look like 41 Rimfire Longs to me. Intended for the Colt "House Pistol" revolvers originally. Made in a 4 shot "Cloverleaf" pattern cylinder and a 5 shot round cylinder version. I have both Long and Short versions of the 41 rimfire in my collection. That indented circle with the H code appears on a number of different Rimfire rounds made by Winchester.