I'm not sure of the exact model, but you got yourself a wonderful rifle. The mags can be found on auction sites and I think there is even someone who makes new mags for those series of rifles.
I hope it shoots as well as the old M-19 I just found, .376", 5 shots @ 50 yds in some really bad shooting conditions, like 22 degrees and wind.

Enjoy the old girl, a few pictures would be nice. Everone is always posting about the new Savages, but some of the best one's were made before most here were born.

My Best, John K