Large crowds gathered for the event ahead of her funeral on Tuesday.
Hundreds queued outside St Joseph's Church, where the singer's open coffin is lying in public repose until 16:00 GMT on Sunday. This is the public's first opportunity to see her body.
O'Riordan died suddenly in London last week, aged 46.
Many of those waiting carried yellow flowers such as daffodils, which they said represented sunshine.
Inside, O'Riordan's own songs played quietly, and a floral tribute beside her coffin read: "The song has ended, but the memories linger on."
