David Mitchell was a Perfumer in Rochester, New York from 1859 until 1865. His primary business address was at 110 State. In 1865, he was also listed as a "Chemist." From 66 to 67, his wife Cecelia was listed at the same address. Frank B. Mitchell (probably their son) took over the business in 1868. He was listed as a "Mf'g Perfumer" from 1868 to 73. During the later years, they turned over the manufacturing and marketing to William L. Markel & Bro. The business the Mitchell's ran was called "Mitchell & Co.," and "Establishment Mitchell."
The other half of the advertisement was for Mitchell & Co., at the same address. There was a part of the ad that discussed Mitchell's Cocoa-Cream - possibly the same product. The picture shown is the only known Mitchell's Hair Tonic bottle. It's similar to a Lyon's Kathairon bottle, except the Mitchell's is clear.