Is the phrase taken ill correct?

Yes, the phrase "taken ill" is correct and commonly used in English. It means to suddenly become sick.

Here are some examples:

* "He took ill during the meeting and had to leave early."

* "The Queen took ill and was unable to attend the ceremony."

* "She took ill after eating the contaminated food."

While it is grammatically correct, it is considered slightly more formal than "became sick" or "got sick." "Taken ill" might be used in more formal writing or speech, or in situations where the illness is serious.