'Tx63s80' - Welcome to the KCA Forum. It's pretty neat you inherited a Family Hunting Krag!

Model 1899 carbine, #361842, would have been assembled at Springfield Armory, around December, 1901.

Your stock appears to be a 'cut-down' rifle stock, so it is not original to the carbine barreled-action.

Your hand-guard appears to be cut for the 1902 rear sight. This is a very useful rear-sight, if you want to add one to your Dad's Krag. They sell for about $70 on ebay, sometimes including the screws.
Reproduction sight-screws are available from S&S Firearms, (Glendale, N.Y.).

Your receiver appears drilled & tapped for a Weaver side-mount. The #2 adapter-plate (with screws) is pretty inexpensive, when one shows up on ebay. The #2 plate would cover-up some 'blemishes'.
The Weaver #49350, detachable 'one inch' Side-Mount, (which holds the scope and attaches to the #2 plate), is still available from some dealers for $40, or less.

You have a good Krag for Hunting and Plinking. Enjoy it as your Dad did!

Attached: Photo of 1902 sight and hand-guard. Photo of Weaver side-mount and adapter-plate for Krag. 

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