I saw one of these bottles at a show/sale in California. It was the product of I.J. O'Brien, 202 E. 30th Street, New York. I found Ignatius O'Brien listed in the New York City Directory as a Dentist from 1850 to 68. There were two testimonials on the label dating 1871 and 1872. The variant I saw had a wrap around label and I could tell how the sides were embossed, but I'm not sure about the front.
RESTORER AMERICA
Restores color, prevents the hair from falling off, disperses dandruff, and cleanses the scalp, and is a fragrant and pleasant dressing. Beautifying the hair by rendering it sift & glossy.
BOTTLE DESCRIPTIONS
1
Rectangular, 7 1/2", square top, 4 panels, BIM, clear, sides: "I. J. O'BRIEN // NEW YORK"