Question: What was given its name due to its location directly beneath the Old Man of the Mountain, and is located in the state park that has the Flume Gorge and visitor center?
Sentence (from "Profile Lake"): The lake is near the height of land in Franconia Notch; the lake's outlet is the Pemigewasset River, which flows south to the Merrimack River and ultimately the Gulf of Maine (Atlantic Ocean) at Newburyport, Massachusetts.
Relevant evidence: No