Still-hunt n. A hunting for game in a quiet and cautious manner, or under cover; stalking; hence, colloquially, the pursuit of any object quietly and cautiously.
... that will answer. But I reckon she is pretty old, and old people don't often outlive the cautious pace of the professional detective when he has got his clues together and is out on his still-hunt." ... — Innocents abroad • Mark Twain