Right, if you had to shake it, the least it needs is cleaning, but could be something serious.
Yes, I would like to see the Elgin.
I have two Elgins, my great-grandfather's which I mentioned before, and is off for repair, and one in a gold-filled Hunter case (marked Rambler), 16 size, 1894 date, lever set, model 3, but only 11 jewels. Runs well. My mother got it from a neighbor, years ago.
Just dug it out and wound it up.