Can't Install Any Mac OS on Core 2 Duo Macbook
You don't specify the exact model of Core 2 Duo MacBook you're using, so the first thing to try is see if you can actually boot into macOS Recovery over the Internet, as some models were able to have their firmware updated to do just that.

First you need to be somewhere where you will be able to access the internet - however this works best with Wi-Fi networks using WEP and WPA security

Follow these steps:


Ensure your MacBook is fully powered off
Hold down the CommandOptionR keys and press the Power button
Keep holding down the keys until you see a spinning globe with the message Starting Internet Recovery
Soon you’ll see a progress bar - be patient as this may take a while
Eventually the Utilities screen will appear
Choose the Reinstall option
Follow the prompts


If your MacBook is not compatible with Internet Recovery let me know and we’ll go to plan B.