I went back and looked for some other photos I took that day of the Travis Building because I remembered something strange I noticed. I found one and zoomed in on the top part above the three windows in the middle.
I remembered when I took the photo, I thought I could see the word "Steck" at the top. I thought Steck was a publisher and also a city council member. Anyway, I went over to the Portal to Texas History and did a search for Steck and the first thing that came up was a photograph of this building taken in 1948. It was known as the Steck Company Building.
http://texashistory.unt.edu/ark:/67531/metapth62786/
Another photo from a different angle from 1950
http://texashistory.unt.edu/ark:/67531/metapth63103/
Notice those two "balconies" on the top floor on either side of the building. Even today, the balcony on the right has a forward-facing "S" and the one on the left has a backwards-facing "S."
Photo from 2010:
The eight-story portion must have been where the offices were located, and the two-story section to the west of that must have been where the printing presses were located because I found another photo of the interior showing the printing presses and it says the address for that was 217-221 W. 9th.
http://texashistory.unt.edu/ark:/67531/metapth62774/
I think The Steck Company probably occupied this building until 1958, because I found another photo from that year of the "new" Steck Building exterior, parking lot and surrounding land. I guess that's where Steck Avenue got it's name.
http://texashistory.unt.edu/ark:/67531/metapth19507/
There's also a Vaughn Building downtown on Brazos, and I'm wondering if the Steck Company merged with them to become today's Steck-Vaughn Co.