WHAT ARE YOU GOING TO TEST IF YOU UNPLUG IT??? Micah, you keep jumping around and don't listen to the replies you receive. If you have a VOM, it should have come with an instruction manual, which will how to make continuity tests. If you don't have a manual, there are many sites and videos which will show you how to use it. Yes, earth is another term used for ground. As I have said before, it is time for you to do a little research on your own, before everyone on this forum decides not to help you. We are here to help you, but you have to do some things on your own.
PS: It wouldn't be a bad idea to check with your school shop instructor or local library, to see if they have any books on Small Engine Repair. In your case they would be of more value than service manuals.