Dear Ms. Kitten,
Thank you for posting your request on History Hub!
The state of Texas began recording deaths officially in 1903. If deaths were recorded before 1903 in the Washington County Clerk's office, please check there for any records of John W. or Johannes Wilhelm Becker in Washington County, Texas or Brenham (Washington County), Texas.
We suggest reviewing the FamilySearch wiki How to Find Texas Death Records for additional information and/or resources for how to obtain recorded death information for John W/Johannes Wilhelm Becker.
We Hope this is helpful. Best of luck with your research!