Home to as many as 16,000 people as of the 2008 census estimates (which you can find at https://www.census.gov/popest/data/counties/totals/2014/CO-EST2014-01.html ), Lee County has a remarkably low prisoner population for a county of its size. In fact, as of the end of 2010, only 98 persons were serving time in the jails of Lee County.
However, because Lee County is still a relatively small county, it does not have a website from which you can access criminal, arrest, and warrant records. This means that if youre searching for arrest warrant information for the county, you will need to contact the sheriff directly. You can do so by calling 979-542-2800. Often, sheriffs offices will require you to make arrest warrant inquiries in person.
If you would instead just like to perform a complete criminal background check, you may do so at https://records.txdps.state.tx.us/DpsWebsite/CriminalHistory/. You should be aware that this search will require you to create an account with the Texas Department of Public Safety, and that some types of inquiries will incur a small fee.
If you would like to instead search a database of all of the persons that are currently in prison in Texas, you may do so here: https://offender.tdcj.texas.gov/OffenderSearch/index.jsp . Provided by the Texas Department of Criminal Justice, this offender information search can get you the arrest record information of those in prison, but not those whom have been released.