RichThesaurus
get someone's Irish up
vs
put someone's back up
get someone's Irish up
verb
To anger or annoy someone.
put someone's back up
verb
Synonym of get someone's back up: to annoy someone.
How often have the words
get someone's Irish up
and
put someone's back up
occurred in a corpus of books?
(source:
Google Ngram Viewer
)