Welcome to the THR,
You have an apparently nicely kept original Springfield that are quite uncommon these days in its original as issued condition. The number on the butt was probably put there by a unit, whether Regular or National Guard and is known as a rack number for inventory purposes.
The original finish of U.S. Krags was done as rust bluing at Springfield Armory. However, you don't have any pitting apparently despite most of the finish being gone so it actually looks quite nice, don't try to improve the polishing though as it generally smears the markings on the receiver.
Be really careful about removing the rear handguard to dismount the action. You have to lift the rear sight to full mast, gently pry the front and rear prongs off the barrel of the rear sight, and then maneuver the handguard's opening around the raised rear sight to remove it. These handguards are thin, brittle, and can break easily and there is no replacements outside of paying $100 for a replica and then having the match the finish.
All in all, be careful firing it as the wood is over one century old and brittle if not kept oiled up with linseed oil or some other natural wood oil. Petroleum based oils are a no-no for old stocks like this. High pressure loads are also not a wise idea as Slamfire says. The Army tried to upgrade the old .30 Government round and had to backtrack after cracking a fair amount of bolts from the higher pressure round. The design is safe enough but not one to load up as it was produced when smokeless powder was just getting started so keep the pressures low.
A lot of folks also like to put varnish on them which often darkened and crazed over the years which prevented the wood from being reoiled. This may be what obscured any stock markings. Using lacquer thinner you would have probably removed any such crud.
The crack in the wrist also needs to be fixed before firing--it won't get better with firing and recently if you look up GunnyUSMC, he has a recent thread in the gunsmithing area about how to fix this specific rifle stock in the last month or so. The stocks on these are fragile and even reproduction stocks for the Krag are pretty hard to come by. A stock alone for a long rifle with the handguard goes for about $300-350 on gunbroker or ebay so take care of it.
My recommendation is reload it with a cast lead flat based bullet which will keep your load pressures down, do pretty well in your Krag's bore, and might make up for the wandering bore sizes these rifles are known for. You can get the brass from Grafs and Sons usually and there are a couple of places that you can buy cast bullets from such as
https://www.montanabulletworks.com/product/308-lyman-311299-200gr-sil-gc/ and they allow you to select the bullet width to fit oversized bores (if really oversized, then .311 or larger bullets can be found that work also for the British .303).
http://www.lasc.us/FryxellCB30-40Krag.htm
Old reloading thread about Krags.
https://www.thehighroad.org/index.php?threads/favorite-30-40-krag-load.523841/
One thing to remember though, is not all Krags will feed spirepoint bullets from the magazine, some will and some won't and the receiver is not conducive to grinding the feed ramp etc. to make it work.
Get Joe Poyer's Northcape Krag book as it is affordable and will teach you about the rifle.
https://www.amazon.com/American-Kra...ions+kreg&qid=1586050017&s=books&sr=1-1-fkmr0
There is also a Krag Collectors Forum that you might want to read up on.
http://www.kragcollectorsassociation.org/cgi-bin/yabb2/YaBB.pl
Let me know if you have some questions, Krags are fascinating rifles and I have a couple of them.
