Zachary, P. H. 4-1-1947 Electrocuted Williamson Huntsville, TX 285 Murder  
 Zapata mid-1840 Chopped off head Webb NW of Laredo, TX n/a Revolution  His head was displayed as a warning.

Sources:
Texas Department of Criminal Justice Home Page for executions after 1977.  
The Rope, The Chair, And The Needle by James W. Marquart, ©1994, University of Texas Press for those executions before 1977.
Without Sanctuary by James Allen and John Littlefield, © 2000, for early lynchings in Texas.