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 House"): Originally built in 1852 and opening for its first season in 1853, it was operated by several owners and partners until its final season under the ownership of Karl P. Abbott, when the hotel, at its seasonal peak, burned to the ground, leaving only the train depot standing in the fire's aftermath.
Relevant evidence: No