The Remington Repeating Shotgun was introduced in 1907. The name was changed to the Model 10 in 1911. In excellent condition, it has a blue book value around $300.
Someone at the RSA might be able to help.
They only way to do it it is to comb through all the serial numbers of all the different types of shoutguns Remington has made the past 150 or so years. Remington.com has a history section in its Sportsman's Library that you might be able to use to narrow it down.
Remington made neither a shotgun or rifle model 1890, sounds like you are might be talking about a model 12-C or 12-CS pump rifle. Until it's identified correctly and a GOOD description of it's condition, valuation is impossible.
KD stands for damascus barrel I do not know what the Y stands for. You should not fire the gun with a damascus barrel because it is weaker and might explode with modern shells
I'm not 1100 expert BUT I put this article up on the site and it might have the answers if not head over to the forums someone there will probably be able to help you. On the Remington Society of America on the home page there is a other on-line article links, the 4th quarter of 2006 there is a collecting model 1100 shotguns article.
Using the wrong shotshell in the wrong shotgun.
Try calling Savage. I had a Remington .22 and so I called them and they gave me the history on the Gun. Savage might do the same. Are you sure it doesn't say 94C? If it does, then sometime between 1926 and 1945.
There are 3 options,,call Remington and ask, they do not have it posted on there web site but might have it around. Buy it---http://www.gungarage.com/remingtonacc.htm Go to a gun dealer and ask, most have one for repair parts.
Best to get it checked by a competent gunsmith before firing. It might be corroded.
For Remington here are two big ones and there are more listed at the third address just search the page. Gunparts also might have the Beretta they carry everything. http://www.e-gunparts.com/ http://www.rollingblockparts.com http://remingtonsociety.com/rsa/service For Beretta, you might start with Cole Gunsmithing. They've specialized in Berettas for many years. http://www.colegun.com/
My first guess would be that it needs a real good cleaning, this is a gas operated and not a recoil action. They haven't made them in about 50 years there might be a bit of junk in there ;) Remember this is also Remington's first gas operated shotgun it and there have been a lot of improvements it won't be as forgiving as modern versions.
I'm sure there probably is, but I can't locate one in any of my references. If you have an idea who might have manufactured such a gun, it would make the search easier. The most likely American manufacturer would be Remington but many rolling block actions were also made in Europe where the 28 gauge would be more common, I believe. Of course, any competent gunsmith could convert a Remington rolling block military rifle into a smoothbore shotgun. In fact, if one were chambered for something like the 55-100 Maynard cartridge, a 28 gauge shell might fit.