Hall takes its name from the hall—the large house or manor building that organized medieval village life. DAFN treats it as a topographic name for someone living at or near a hall, an occupational label for a servant employed there, or a habitational name from places called Hall.
This page files it under place because the landmark is a building/site first. German, Scandinavian, and Irish Hall lines also exist under the same spelling. Confidence stays likely because servant-at-the-hall and dweller-by-the-hall are hard to separate in records.