According to the following website, your 4-hole button was made in Britain, sometime between 1843 and many-many decades later. The website shows a 4-hole brass button marked "Turner & Co. Patent", as yours is marked. Keep in mind, Patented objects were often manufactured for many decades after the Patent for them was issued. For example, the 1861-patent Mason jars were made (with that marking) for many decades afterward. That patent-date does NOT mean the jar was made during the civil war. See button f13s at the website's photos of British-patented buttons.
Patents from the United Kingdom
The "Browne / Nashville" on the other side of the button is most probably the name of a tailor/clothing shop which ordered your 4-hole button from Turner & Co.
For anybody here who doesn't already know:
The great majority of button-backmarks do not tell the name of the button's manufacturer -- but instead, tell the name of a button-dealer, tailor, or clothing-supplier company who ordered the buttons from the manufacturer. Perhaps the most famous example of that in the civil war button-collecting field is the "Hyde & Goodrich / New Orleans" backmark on various civil war era southern State Seal buttons, such as Louisiana and Mississippi Infantry buttons. In actuality, Hyde & Goodrich did not manufacture any buttons... all of the Hyde & Goodrich backmark buttons were made by the Scovill Manufacturing Co in Waterbury Connecticut.
Also, the various Horstmann companies (Horstmann & Allien, Horstmann & Sons, Horstmann Bros. & Co., etc) never manufactured any buttons. They were produced by actual button-makers such as the Waterbury Button Co. and the Scovill Mfg. Company.
Edit: Surf and I were typing at the same time. But I am much more long-winded than he is. ;-) I tend to add "educational" info like the examples of backmarks which tell a store's name instead of the name of the button's manufacturer.
