Cook & Bernheimer
Cook and Bernheimer were listed as being in the liquor business in New York City. The tax on medicines was less than the tax on liquor, and it is a safe bet that "Sunsmile" had a high alcoholic content. Alcohol is not, after all, an ineffective pain killer. Perhaps the tax authorities were hounding the company in 1883, as these private die stamps were not issued until March 2, of that year, and then only through May 5. 37,804 were printed on watermarked paper.
A double transfer on the Bernheimer stamp is most noticeable as a partial extra frame line outside the regular frame at left. There are a number of other lighter, extra vertical lines in the design at left as well.