This product was sold by Edward Phalon starting in the early 1840s.
In 1848, Louis Miller opened a Barber Shop just two doors down from Phalon. He was there until around 1863, and he sold his Hair Invigorator in the exact same bottle as Phalon's (see Miller's). Apparently, Miller copied Phalon because Phalon was selling his Hair Invigorator 2 years before Miller started.
Because so many of the Phalon bottles have the street addresses on them, I will offer the following list of the years I found them listed at each address: 200 Chatham (1841-2), 214 Broadway (42-45), 61 Broadway (46-47), 197 Broadway (49-59), 517 Broadway (54-80), 497 Broadway (58-59), 24 10th (73-79), and 1140 Broadway (1885). Although the 617 & 619 Broadway addresses were listed on bottle descriptions and labels, I didn't find them listed in Directories. In 1837, they were at 35 Bowery, but I don't know of any bottles from there. In addition to City Directory listings, Putnam found advertising for the Hair Dye has as early as 1846. Note that any of the variants embossed "Phalon & Son" can be dated 1858 or after, since that was when Henry joined his father.
An 1856 ad indicated that at that time, the Hair Invigorator came in 4, 8, 16, 24, 32, and 36 ounce bottles. Where are they? I want one!
The earliest bottle consistently had fairly faint embossing. This was probably so the wrap-around labels would stick better. The labels for these went right over the embossing.