Illinois Public Domain Land Tract Sales Database - for Lawrence County select this county and then enter the surname (at least first 2 letters) of the person whom you wish to search on  (a government database of over 550,000 19thC land sales in Illinois - info on obtaining original copies is here )
Genealogy Trails History and Genealogy Project - Pages for This County you will find user contributed records of births, deaths, marriages, military and newspaper extracts at this site
Lawrence County, IL Genweb Project a collection of online resources for genealogy researchers
The Tombstone Transcription Project - cemeteries for Lawrence Co. IL
US GenWeb Archives for Lawrence County cemeteries, newspapers, wills, military rosters etc recorded online

Additional Resources

Illinois Obituary Search enter your ancestor's name to search the world's largest newspaper obituary archive; over 3 Billion newspaper articles
Illinois Birth Records
Illinois Marriage Records
Illinois Divorce Records
Illinois Death Records