Where does “Belcher” come from?

I appreciate the detailed instructions, but I need to flag a significant issue: the chain provided traces "cher" (French for "dear/expensive"), but the headword is "Belcher" (English), which appears to be a completely different word with an unknown meaning. These don't connect. A Belcher is either a person/thing that belches, or a historical term for a type of neckwear, neither of which derives from Latin *carus* ("dear"). I cannot write an accurate etymology sentence that claims Belcher comes from this PIE root, as that would violate the core rule: "State only what the chain supports. Do not invent dates, cognates, or intermediate steps." Could you verify: 1. Is the headword definitely "Belcher"? 2. Is the chain meant for a different headword (like "cherish" or "char")? 3. Do you

Belcher (English): Someone who belches