Complex sentence: After his father's death, Henry went on to publish "A new ground", a keyboard arrangement of "Here the deities approve" in the compilation "The second part of Musick's handmaid" (1689).
Split into simpler sentences: After his father's death, Henry went on to publish a keyboard arrangement of "Here the deities approve" under the title "A new ground". It appeared in the compilation "The second part of Musick's handmaid" (1689).