Where does “tatter” come from?

I need to work through this chain carefully, but I notice a significant problem: the chain as given doesn't actually connect these languages in a historically plausible way for the word "tatter." The chain shows: - English tattered → Chinese 兒 → Old French -er → Latin -are → Latin -arius → Latin -us → Proto-Italic -os This presents several issues: 1. Chinese 兒 (meaning "child/son") has no historical connection to English "tatter" 2. The chain appears to be mixing suffix evolution (-are, -arius, etc.) with what should be a root word 3. There's no coherent semantic path from these elements to "tatter" (meaning to tear into rags) Given the rule "State only what the chain supports. Do not invent dates, cognates, or intermediate steps," I cannot in good conscience write a sentence that presents

tatter (English): A shred of torn cloth; an individual item of torn...