Livery buttons often had family crests & were worn by menservants of the 18th and 19th century. Most of those pictured here were made by Firmin & Sons, London.
Armor & Medieval weaponry.
Perhaps it was the influence of heraldry images on livery in the UK. Or it may have been the Arthurian revival in fiction & non-fiction stories of the 19th century that made armor & weaponry a popular subject for Victorian buttons. The last button above depicts Jean La Hache, aka Jeanne Hachette, a French heroine who helped to defend the town of Beauvais in 1472. She took an ax to an invading soldier who had scaled the city walls & was joined in battle by other women to defend their town. In this scene she is poised to attack one man while another falls to his death. The city celebrates with a holiday in her honor every June.