The woodwind music is "Bhatiyali Dhun" by Shakthidhar. 

The piano music is from the hymn "Holy, Holy Holy."  The words were written by Anglican clergyman R. Heber (1783-1826;
the music was written in 1861 by John Dykes.

This hymn, which Evelyn Underhill was certainly familiar with, was inspired by Isaiah 6:3

"Holy, holy, holy is the Lord of hosts;      

The whole earth is full of His glory."