From Rice's image files - the three Cotton Bowl trophies - '38, '50, '54
I'll venture that '38 is much taller than the other two - it is nearly 5' tall, and the football on top is close to actual size.
There are several boxes in the R-Association office/hovel under the R-Room that might contain the latter pair.
I haven't seen one tall enough to have the '38 trophy in it.

As fragile as it seemed to be it might actually be in pieces in one of those boxes…
… anyway, we’ve got 15 years to find it (the 100 year anniversary), or until Rice’s next Cotton Bowl appearance, whichever comes first…

Anyone care to guess how many women have signed the Coaches Tables?

There are three tables now - the original, a copy of the original that is shorter and copper-topped, and a second table with newer signatures, as the first one was pretty much full.
The earliest year on signatures on the second table is 1990.

I managed to find Martha Davis Stewart, "Bloody" Joe Davis' daughter.
Her story about the original table is in the image here.
We had a nice conversation about the table on Friday morning (10 November 2023).
I was asking if she knew anything about the copy of the table, that is shorter and has a thick copper top. (She doesn't.)
She said that her grand-daughter managed to talk her way into the renovated R-Room recently, and got some pictures of the new Hall of Fame.

Genny Volpe's name tops the list of people (that are still with us) whose names belong on that table.