Following her death, her boyfriend and D.A.R.K. bandmate Ole Koretsky said "the love of my life is gone". "Dolores is handsome. Her art is attractive".
The funeral mass is set to take place in Ballybricken, Co Limerick on Tuesday morning before a private family burial.
Bishop Leahy was on hand with administrator of St. Joseph's Parish Oliver Plunkett to receive Dolores remains at the Church at midday and meet with her mother Eileen and other family members who attended. Her spiritual journey continued in many parts of our world, and yet Dolores remained anchored in Limerick.
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He said a post-mortem examination has been conducted "and the court is awaiting the results of various tests that have been commissioned".
The coroner overseeing the case, Shirley Radcliffe, noted that hearing will resume on April 3, the date for a full inquest.
On Monday, her body will also lie in repose at a funeral home in Ballyneety from 4pm.
At one point, their singles went on to sell over 40 million copies, making the Cranberries second only to U2 as the best-selling rock band out of Ireland ever.
O'Riordan is survived by her three children with ex-husband, former Duran Duran tour manager Don Burton.