Going back to my post the die has two diameters first into the pump is .499 the base end of bullet , last diameter is .504. only five thousands difference .005. the slight tape insures the fit into the body without slipping all the way thru and no O rings are needed for a seal. Length can be whatever the length of the die cavity is in the body.  I hope this clears up my part in this?  Tom

OK, two more questions now for all to consider.  Number 1, for Tom & Charlie, what is the outside diameter of the insert?  Have I misread it as being .5005” the full length or is it .504” at the base end and .499” at the end that goes in first, or??  If I read Tom’s measurements correctly, it is the latter and Charlie’s seems to be cylindrical at the  smaller .5005” diameter all the way.  I was subtracting .5005” from 504” and getting 35 ten thousandths, then misplaced my decimal.  . I guess I’ll have to check for that taper in mine.
Number 2 for all three of you,  are the chambers all reamed straight through (or with taper as needed) without regard to nose shape of the bullet?  Charlie Dell insisted that the chamber had to fit the bullet profile exactly until it got down to the size of the pilot hole.  A lot of extra work!   
I’m probably digging for answers I can’t answer until my pump is in hand.  I really do appreciate all of your input so I’ll be able to “hit the ground running” when it finally does arrive.
5o, thanks to all of you for putting up with all these questions.
Froggie

I use three different pumps Original Hartford marked Pope A Joe Ruth pump and one made by the late B W Darr. All take the same dies ,499 x 504. The dies are cut down leaving a ring at the top and at the bottom so they slide in and out easily.
Small end goes in first the dies are cut for the bullet you are using straight no taper, Pope multi diameter bullet we would cut the die to fit it with no lube leakage. I went and  took pictures to illustrate this and find since the last microcrap 11 DOWNDATE it and others on line  will not now read SD cards. So now I have to find out how to correct this!

Ooo, ooo, I’ve never seen one of Barry’s. Is it a pretty close copy of the Pope version?
Froggie

I THINK Charlie's reasoning for the the nose fitting was to absolutely control how deep the bullet would go into the die. I usually just fitted to the nose and body diameters, pushing the bullet base in flush, and got a decent seal unless you really gronked on the handle.

Willis

DId pope taper bore the inserts to match bullet taper?

If available, boring the lube die with the bullet mold cherry sure works nice. Just enough clearance.
Chuck