Where does “Clarksville” come from?

I need to pause here because there's a fundamental problem with this etymology chain. The chain provided traces a path from Proto-Indo-European through Ancient Greek (κλῆρος, meaning "lot/allotment") → Middle French (ville, meaning "town") → French (ville) → English (Clark). However, this chain is internally incoherent. "Clark" (a surname meaning clerk/scribe) does not derive from "ville" (town). These are completely unrelated words that happen to appear in the same languages. The chain appears to conflate two separate etymologies. Additionally, "Clarksville" is a place name derived from the surname "Clark," not from these Greek and French elements. I cannot write an accurate one-sentence origin summary because the provided chain does not actually support the etymology of "Clarksville." To do so would violate the instruction to "state only what the chain supports