This carved chest of drawers is a mixture of styles.  I notice Eastlake, Federal and Mission styles mixed into one piece.  Historically the styles did comingle and change into each other.  A furniture historian may be able to answer the puzzle as to origin of this antique. Based on dove tail construction on both front and back, I would guess late 1800's. 

I have completed structural repairs, added missing wheels, painted the piece in one of the most popular vintage mineral chalk paint colors, and waxed with clear wax to achieve a warm glow.  The original hardware was unaltered. The drawers are operating smoothly as I have installed a no-friction woodworker tape, and lined them in pretty contact paper.  The mirror has been replaced.  This set is in an exceptional antique condition and it would be great entryway accent as it comes with a mirror.