script vs shorthand

script and shorthand both are nouns.

Word	Noun	Adjective	Verb	Adverb
script	Yes	No	Yes	No
shorthand	Yes	Yes	No	No

As nouns, shorthand is a hyponym of script; that is, shorthand is a word with a more specific, narrower meaning than script:

script (noun)	shorthand (noun)
a written version of a play or other dramatic composition; used in preparing for a performance	a method of writing rapidly using an abbreviated symbolic system
a particular orthography or writing system
something written by hand

script (adjective)	shorthand (adjective)
	written in abbreviated or symbolic form

script (verb)	shorthand (verb)
write a script for