LE-A-004FG1-Z(F

Button with princely hat and the monogram  "FG" around 1750 / 1800.
Theory 1: Austria... - Livery (Forest / Hunting) - Fürst (Prince) G...
Theory 2: Austria... - Military button - the monogram stands for regiment owner: Fürst (Prince) G... unlikely

Found:
Czech Republic: 1. Kolín (Středočeský kraj - Central Bohemian Region) [Battle

Further theories are welcome. The button collector community will be very grateful if you can contribute to the solution of the riddle.

Collection: Kejzlar