That is great to have a piece of family history like that. The best I got was a .22 my dad bought in the 50s, I love it and use it to teach my boys to shoot on. When I was small my dad sold his guns, my elderly grandmother was afraid I would get at them... Dang.
I don't want to detract from this post but immediately upon reading it I noticed a historical issue. Winchester's model 1894 was introduced in November of 1894 only in .32-40 and .38-55. In the spring of 1895 they introduced two new made for smokeless rounds for the model 1894, the .25-35 and your classic .30-30. There are a number of sites that will tell you the date of manufacture of your rifle from the serial number. I think you have a great piece of family history and I am not trying to detract from the history of it, but it must have been bought the following year.
Happy Shooting.