If the new battery registers 10 volts without the vehicle running then you might want to take a DVOM and check for resistance, shorts and fouled grounds. A new battery should read 12-13 volts with the KOEO. It should read 13+v with KOER. It sounds like you have a fairly heavy parasitic drain or maybe even a very light short to ground. Check the positive cable going to the starter. Many times they become loose and short out on the manifold or frame. A simple way to check is to turn the DVOM to resistance and hold one test lead on the positive terminal and the other on the rear engine ground strap. If you get anything other than OFL you have a short to ground somewhere. You can check the alternator by simply removing the negative battery cable while the engine is running. If it dies then your alt is the problem. If it doesn't then you probably have a fouled connection somewhere.
Hey Tempted, could you clarify all of the abreviations for me? I am not really sure what you are telling me. Thanks for your help, I really appreciate it.