The 1922 Montgomery Ward's Catalog listed this product. It was most likely in a label-only bottle. The following is a transcription of the ad:
DR DAVIS DANDRUFF REMEDY A hair dressing and dandruff remedy. It is cleansing, cooling and stimulating. It is also a mild antiseptic. Shipping weight per bottle, 1 1/2 pounds. Price per 6 ounce bottle, $.49.