Ales,
For the music;
The basic orchestral score was written by noted film composer Dmitri Tiomkin. He is still one of my favorite film composers.
As mentioned before, the song "Ballad of the Alamo" was performed by country singer Marty Robbins. The song was released at the same time as the movie, a common tactic back in the 60's. The Marty Robbins' version was NOT used in the film, but does appear on the soundtrack CD that I have. The song "Green Leaves of Summer" was also released as a single record and has been covered by other artists. The using of other songs in the film date back to John Wayne's older Western movies from the 1940s where a song appeared during the film. The 1960 "The Alamo" almost qualifies as a musical

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The 1960 movie was financed in large part by John Wayne - it was his personal testament to America and the ideals that he believed in.
The last I heard the movie Alamo was still existing in Bracketville, TX (I think), while the chapel building from the actual Alamo is a hallowed landmark in downtown San Antonio, TX. After all these years (I saw "The Alamo" in a theater in 1960 or 61) I finally got to see and touch the real one this last March. If you ever get a chance to go there, go across the plaza to the Kings X store. They have a truly magnificent Alamo diorama built by K&C. Being at the actual Alamo is a moving experience, thinking of what occurred there is 1836.
Across southern Texas, near Houston, there is a park and memorial site for the San Jacinto battle where Houston defeated Santa Ana and secured Texas' independence. The battle site park is also the site of the USS Texas, a dreadnaught battleship that served in both World Wars.
Gary