training school vs reform school

training school and reform school both are nouns.

Word	Noun	Adjective	Verb	Adverb
training school	Yes	No	No	No
reform school	Yes	No	No	No

As nouns, training school and reform school are synonyms defined as:

training school and reform school: correctional institution for the detention and discipline and training of young or first offenders

Other synonyms of training school include reformatory.

training school (noun)	reform school (noun)
correctional institution for the detention and discipline and training of young or first offenders	correctional institution for the detention and discipline and training of young or first offenders
a school providing practical vocational and technical training