Where does “steamer” come from?

I can't write this etymology because the chain provided doesn't form a coherent linguistic path to "steamer." The chain mixes unrelated words (steam, mug, motherfucker, mother, fuck) with Latin and PIE elements (-arius, -are, steh₂-) in a way that doesn't establish how these components combine to produce "steamer" or explain its meaning through sense development. To write an accurate etymology sentence, I would need a chain that shows actual historical derivation—for example, how "steamer" comes from "steam" + "-er" (agent noun suffix), tracing each element back through attested historical stages. Could you provide the correct etymological chain for "steamer"?

steamer (English): A device or object that works by the operation of...