While do not have specific information about the need for a liquor license when selling alcohol based tinctures for your location, we do have some examples from other parts of the country to share with you as well as a few ideas to help you in your research. 

As an example from New Hampshire Herbal Network:

"Most herbal products are technically dietary supplements, not alcohol for general consumption, and so you do NOT need a liquor license. If you’re following the regulations for Dietary Supplement FDA GMPs and not selling something that would be consumed in large amounts and taste good (ie: medicinal tincture that tastes bad and dispensed in small bottles with doses of a few milliliters vs a really delicious herbal cordial/elixir that you might want to keep drinking). " https://nhherbalnetwork.wordpress.com/learn/herbalregs/ 

This person was asking a lawyer about selling tinctures in Colorado and they said there are not any state laws in CO that regulate tinctures for sale. https://www.justanswer.com/business-law/a9vqw-recently-paid-fda-gmp-certified-company-california.html 

Contacting your state health department is a good place to start! If your state health department has no idea, you may want to reach out to your local health department to see if those folks can help you get to the bottom of things.

You may want to reach out to local herbalists in your state who sell products to clients or the public and see if of these folks can give you some guidance. In a similar vein, you may want to research if other large tincture companies like Herb Pharm sell their products in your state which may give you some insight into whether or not it is illegal to sell tinctures without a liquor license. 

Finally you may want to research what constitutes selling alcohol in your state. For example, does it have to be a certain amount/volume, or is it in the labeling and intended use of the product? Most large sized tincture companies sell in 1, 2, or 4 ounces, but not greater than that. In fact, most are the smaller sizes in stores, with larger sizes sold online.