The people I bought it from weren't able to provide any history and they never had any keys.
A Google search came up with a source that might still carry a key to fit one of the locks.
The little drawers inside are long gone, so I'm hoping to find some baskets or small containers to fill the spaces. This really looks like a home grown piece of furniture, most likely made in great grandpa's woodworking shop.
So much charm, functional, sturdy, and definitely made with love.