Dolores O’Riordan was detained after an air hostess was reportedly attacked on an Aer Lingus flight on November 10.
Irish police were called to meet the aircraft and during the course of the arrest, a policeman was also assaulted.
The air hostess was taken to hospital but the officer was not seriously hurt.
The flight, from JFK Airport, landed at Shannon at about 05:30 GMT.
A police spokesman said a woman in her early 40s was being questioned at Shannon Garda (police) station.
The Aer Lingus staff member was brought to the Mid-Western Regional Hospital in Limerick for treatment.
Image source: Wikimedia Commons President-elect Donald Trump celebrated his election victory at the Ultimate Fighting…
Millions of voters across the US chose to return Donald Trump to the White House…
Donald Trump declares victory in the US election as he addresses jubilant supporters in Florida.…
Stocks around the world are rising as Donald Trump appears to be on the cusp…
Donald Trump has won Pennsylvania, North Carolina and Georgia and taken a lead over Kamala…
Quincy Jones, the celebrated musician and producer who worked with Michael Jackson, Frank Sinatra, Ray…