A person who catches birds at night using the batfowling method of dazzling them with light and striking them down.
From 'batfowl' plus the agent suffix '-er,' indicating a person who performs this action or occupation.
A batfowler was basically a medieval poacher with a very specific skill set—they had to know birds' roosting habits, be good with light and darkness, and have decent aim with a stick, making them both resourceful and frustrating to landowners.
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