Do not thin a rim yet, they may not need to be.
The 44 Webley is sort of based on the 44 RIC but there were a ton of variations in this case. I have a "British Bulldog", the stamping on the top strap will also specify when it was made, yes, I bought the Iver Johnson book, feel free to PM me and I can take some pictures for you with the details.
My 44 will fit 44 Russian brass in the cylinder but the cylinder is way too short for the 44 Russian COAL, so not 44 Russian. There is also a stop in the cylinder, these are not heeled bullet cartridges like many people would have you believe, but this may be different with your gun. I suspect yours will be the same as mine, a stepped cylinder with a very large throat and and rifling to accept American "44 cal" bullets, 0.430 cast lead.
What I did was trim some 44 Special brass a bit short so that it would fit the cylinder (44 Russian could not be found), then test fit, the gap in mine is such that there is no need to thin the rim, perfect. Then I trimmed the case so that with a bullet seated I am at the crimp groove and the COAL is just shorter than the cylinder length with a 200gr soft lead 0.430 bullet, this is how I determined my cartridge length and case length. Then I loaded true BP in there to have a heavy compressed load and done, goes bang and makes a lot of smoke
One not, starline brass has a thinner web, this is good, works better than American 44 special brass. American 44 special brass is just a 44 Mag shortened, the web is so long the bullets actually bulge the case, so after loading and crimping I size the loaded round again with no decapping pin. For a crimp die I use a 7.62x39 sizing die, the decapping pin area I have a threaded bolt as a seating die, this is an RCBS die and works well for this function.
Feel free to PM me if you want any of the notes I have.