Where does “prompt script” come from?

prompt script (English) comes from English prompt, from Middle French prompt, from Latin prōmptus, from Latin prōmō, from Latin prō, from Latin ratus, from Latin rēōr, from Proto-Italic rēōr — to fit, to fix, to put together.

Ancestry of “prompt script”, step by step

prompt script traces back through two separate lines of ancestry.

via English prompt

StepLanguageWordMeaning
1EnglishpromptQuick; acting without delay; On time; punctual;...
2Middle Frenchprompt
3Latinprōmptusa taking forth
4Latinprōmōto take or bring out or forth, produce, bring to light
5Latinprōfor
6Latinratusconsidered, having been considered; established,...
7Latinrēōrto reckon, calculate
8Proto-Italicrēōrto reckon, to calculate; to think, to deem, to...
9Proto-Indo-Europeanh₂reh₁-to think, reason; to arrange
10Proto-Indo-Europeanh₂er-to fit, to fix, to put together

via English script

StepLanguageWordMeaning
1EnglishscriptA writing; a written document; Written...
2Middle Englishscritwriting; document; scroll
3Old Frenchescritpast participle of escrire; third-person singular...
4Latinscriptuswritten, having been written
5LatinscriboI write
6Proto-Italicskreiβōto carve
7Proto-Indo-Europeanskreybʰ-to write
Every word from Proto-Indo-European h₂er-Every word from Proto-Indo-European h₂reh₁-Every word from Proto-Italic rēōr