Interesting. I always thought that referred to a hearse - I stand corrected.
The etymology of such terms also is interesting, the following is from Perplexity AI. The origin of the name is believed to be linked to a black woman named Maria Lee, who operated a lodging house for sailors in Boston during the mid-1800s. She was known for her strength and ability to help police manage rowdy patrons, leading to the adoption of her name for these vehicles.
Relative to paddy wagon, the word "paddy" is a common diminutive of "Patrick," which has historically been used as a slang term for Irish people, often in a derogatory context. During the 19th and early 20th centuries, many police officers in major American cities were of Irish descent, leading to the association of the term with law enforcement vehicles. The term reflects societal attitudes of the time, where many Irish immigrants were often viewed with prejudice. In fact, during certain periods, a significant number of those arrested were Irish, further cementing the connection between "paddy" and police transport.