What if the actual email is not in my email I only have what I wrote down, can I still find out who that email belongs to without paying for it
Your best option is to search for the email address within several search engines to see what you can find. If you're not able to find anything via search engines, a pay for service may be your only option. You can always email the address and see if they reply. If they reply, then you'll have the header information. Keep in mind, if this is from a gmail address or other free email service, you my only be able to trace an IP address to the service provider.