1890s Eastlake. Walnut. Not rare.
These chairs were part of a parlor set that has long since been broken up. A full parlor set would include a sofa, loveseat, armchairs, sidechairs (no arms), and perhaps a parlor table as well.
If you like them get them repaired and re-upholstered. Don't expect to make money on a resale, but do expect beauty once they're restored.