The Sunset Limited

Ollie: Am catching the train to L.A. tonight, well, actually, tomorrow morning. It leaves around three AM...

The train Ollie would have taken from Louisiana to Los Angeles was the Southern Pacific’s SUNSET LIMITED.

“The Sunset Limited is a long-distance passenger train operated by Amtrak on a 1,995-mile (3,211 km) route between New Orleans, Louisiana, and Los Angeles, California, with major stops in Houston, San Antonio, El Paso, and Tucson. Introduced in 1894 by the Southern Pacific Railroad, it is the oldest continuously operating named train in the United States.” Wikipedia.

From El Paso you could catch a train up to Chicago via Denver. And from L.A. connect to San Francisco.

To lean more, check out this American Rails article: https://www.american-rails.com/sunset.html

Here are the Westbound timetables from 1952.