Sometimes a cigar box is just a cigar box....
A folding looking glass, somewhat like a very large rouge compact, is more like it. It would be available technology for the times, and it would be of a form similar to this.
A silver plate could easily function as a mirror. And calling it a “shallow chest” would rationalize its use as a container for facial enhancements, like some form of mascara or skin colorants.
Doubt if it was cigars, though.