Two questions, Wom:
1- is it some sort of a medal? Your title says badge- would it have been pinned onto a uniform? Or maybe a hat, since it's a shako badge; correct me if I"m wrong, but I thought a shako was a plume-y thing affixed to a hat, like a marching band hat.
2- given its age - how do you store such a badge? Do you have it cleaned or polished or otherwise "touched up", or do you keep it as it is?

When you open your museum, I'll visit! Count me in!