A.T.:  Thanks for adding additional pics.  Your Krag's action was built in 1903 at Springfield Armory near the end of Krag production.  The barrel originally was 30" long.  There is a peculiar groove filed into the bolt-sleeve.  This was probably done because the front sight is so low.  This would cause the rifle to shoot high so the rear sight had to be depressed to the max.  The two holes in the left side of the receiver were probably for an off-set Weaver scope mount.  There appears to be some lettering on your safety.  Krag safeties are devoid of lettering.  Your stock is an early type of Model 1898 Krag carbine stock. These were made in 1898 and are relatively rare.  Only 5,000 M-1898 carbines were made.  It appears the stock has been thinned down in the wrist and forearm.  The barrel band is not correct for this stock and may be a 'trap-door' Springfield band.  I see a couple of 'dome' head screws on the left side of the stock near the rear of the action.  These hold the remains of a cavalry sling-bar.  I am describing a lot of things that sound like blemishes (to a collector), but this is your Grandfather's Krag so it should be 'Priceless' to you.  (If you are not real familiar with arms, it's good to have it checked out by someone who is Competent).