According to www.singletonfamily.org
, Ada Weeks was the daughter of Silas Weeks (born about 1737, Swansboro, Carteret County, NC) and Zillar Hunter. If you check out the site and type in Ada Weeks, you'll be able to access lots of info about her family.
You may also want to check out www.geocities.com/
~weekseekers/. If you'll google some of the names that you have, you'll be surprised at the sites you'll be directed to. Hope that this helps in your search.