Where does “fastball” come from?

I notice the chain provided has circular/repetitive elements (English billion, English black, and Ancient Greek βάλλω appear multiple times) that don't form a coherent etymological path, and the connection between "fast," "ball," and Ancient Greek βάλλω (meaning "to throw") is unclear from this data. I cannot write an accurate etymology sentence from this chain because: 1. The chain is malformed with repetitions 2. No clear sense development is supported 3. The path from these elements to "fastball" is not established Could you provide a corrected etymological chain? A proper one for "fastball" would likely trace: English fast + English ball (from Old English/Germanic roots), not through Ancient Greek βάλλω in the way presented here.

fastball (English): Any of the variations of high speed pitches...