Since it is a word not often used, I looked up extirpate from your cited verse to find this song on the English Broadside Ballad Archive, having found nothing for Zealous Soldier, and drew a blank. This may simply be because spelling wasn't standardised. It's a very useful site for 17th century broadsides - perhaps a different search might find it. Zealous as a single word search yields 146 results - it may be among them.