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Actually, the term Paddy Wagon is not politically correct,
as many people of Irish heritage find it offensive. If you
go to google.com and type in the phrase, there are many
links.`

https://www.google.com/search?q=paddy+wagon&ie=utf-8&oe=utf-8

Paddy wagon - Grammarist
One theory about paddy wagon's origins is that the term
came about due to the large numbers of Irish Americans
on the police forces of some American cities.
Paddy was once a slang term for Irish Americans, and
although the term is rarely used anymore, some might still
consider it offensive.
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