One of the best sources of genealogical information on the web is www.rootsweb.com. There are also some surname message boards on the rootsweb site, look to see if there is an active Green and Moore message board, sometimes you can find a lot of help on these boards. You can also search for your ancestors and locate individuals who are working on the same family line.

If you know the home county of your ancestors do a google search and see if you can find a message board or a historical society for that particular county. Some surnames have family associations, again do a google search for a family association for your surnames. If there is an association you will find some contacts and willing help.

Some states are now transcribing and copying some vital records and placing the information online, this is a excellent source of documented records. Most of the people who are involved in genealogy are more than willing to share information with their cousins.

I hope this little bit of info helps you out, if you have any questions please feel free to PM me.