Somewhat sometimes sorta yeah.
Not always a special name,like I call my .257 AI the .257.That is its name.
But,I did build two 375 Chatfield Taylors.(Its a .458 necked down to .375)
One,was on a Springfield with a walnut,laminated Fajen stock in a european,slender schnabel forend style.This rifle was built to be iron sight,and has an old redfield peep.But,we put a Dakota arms express sight quarter rib on it,and modified it to accept Warne rings,for a scout scope.
Checking it out,shooting rolling tires,it was christened "The Sand Worm Special".I gave it to a friend.
I lapped and squared up a Husquvarna action,put a 26" Lija #3 bbl on it in 30-.338,and put it in a Hi-Tech specialties 20 oz stock.It has a 3.5-10 Leupold Boon and Crockett on it.Canjar trigger.
I used some green Rustoleum sand textured paint to finish it.It worked real well.I call it "The green Weenie"
Doggone fine rifle.
The other .375 Chatfield Taylor is what I carry hunting when I think my .257 is a bit light.It is on a 1952 FN action,21 in bbl,Garret Accralite stock,a win FWT pattern.It ha a Leu 1.5-5 on it.#3 bbl contour270 gr bullets are 2650 fps,and rifle with scope is a touch under 8 lbs.
Her name is Muleabelle.I really like that rifle.