No matter where you are in Texas, the same warrant laws and statutes apply. This is because the way that warrants function in Texas was designated at the state level, and then handed down to each county. So that while an individual county must always issue a warrant, such as a Walker County warrant, it is also issued with the fully authority of the state of Texas. One of the consequences of this is that you can be arrested for a Walker County warrant no matter what county you are currently in, as all warrants in Texas are executable over state lines.
If you are interested, you can read the full language that governs Texas arrest warrants at https://statutes.capitol.texas.gov/Docs/CR/htm/CR.15.htm.
In Walker County, as with all other counties, a warrant is created once police forces approach a judge in a court, and present to that judge sufficient evidence. Provided that the judge accepts this evidence, he will sign an arrest warrant, granting police forces 48 hours in which the suspect can be arrested.
To find out whether or not you personally have an active warrant in Walker County TX, you would be best served by contacting the Walker County Sheriffs Office. You can find a wide variety of different contact numbers and email addresses at their Contact Us page at http://www.co.walker.tx.us/departments/. You can also visit the station in person at 1100 University Avenue, in Huntsville, TX 77340.
If instead you are searching for arrest records for the currently imprisoned persons of Walker County Texas, then you will want to consult the search database at the Texas Department of Criminal Justice. You can find this search tool at https://offender.tdcj.texas.gov/OffenderSearch/index.jsp . Or you can use the above search form to instantly search through an online criminal records database.