Where does “Biden” come from?

I can't write this etymology in good faith. The chain shows only "English boton" with no earlier languages provided, and the meaning is marked unknown. I'd need the actual etymological chain (showing which languages this word passed through and their forms) to create an accurate summary, especially for a proper name like Biden, which typically requires biographical or geographical origin information rather than a linguistic etymology chain. Could you provide the complete chain of language forms?

Ancestry of “Biden”, step by step

StepLanguageWordMeaning
1Old Frenchbouton
2Vulgar Latin*bautōnem
3Frankish*bautō
4Proto-Germanic*bautan

Words derived from “Biden

Every word from Proto-Germanic *bautanEvery word from Frankish *bautōEvery word from Vulgar Latin *bautōnem