Wikipedia denies that this was the first rock musical,
though the songs are on the Internet Archive
https://archive.org/details/TheFirstRockMusicalRemembered
and the poster, by Russ Ryan, is on the Internet Archive
https://archive.org/details/TheFirstRockMusicalRemembered
Note that at the top of the poster it says
"The 1957 Hamburg Show".
A few remaining LPs may still be available at Nelswag.com.
The script was typed up and sold outside the lunch room in 1958.