University of Washington was established before Texas Christian University.
The University of Washington (commonly referred to as UW, simply Washington, or informally "U-Dub") is a large, public flagship research university in Seattle, Washington, established in 1861. 
Texas Christian University (TCU) is a private, coeducational university in Fort Worth, in the U.S. state of Texas established in 1873 by Addison & Randolph Clark as the AddRan Male & Female College. 
