Cranbrook was written by the Canterbury shoemaker Thomas Clark. There's a biography of his life written by the late Wallace Harvey - out of print now, but secondhand copies can still be obtained fairly cheaply (try The Chaucer Bookshop, Beer Cart Lane, Canterbury, which even has a website; or Baggins Book Bazaar in Rochester).

I think it says that Ilkla Moor was written by a Yorkshire-based glee club in C19 to that tune - possibly purloined from the Methodist Hymn Book, who nows?