Hi, Jenny. The names I am familiar with are those in U.S.
Many common names are different not only from Europe to America but from district to district as already noted.

I looked in earthnotes and Arcticum lappa is listed with some 24 common names including Beggar's Buttons. Another site lists batchelor's buttons as a name for that species. I have heard the species (and allies) called bur and burdock, but not ..... buttons, on this side of the water.