The "Zombie" singer passed away a year ago on Tuesday, January 15 at the age of just 46, and now her family have entered talks with city officials to build a permanent memorial to her.
Dolores' mother Eileen indicated a preference for a statue of her daughter, telling the Limerick Leader newspaper: "The statues are there forever, aren't they? It will be there when we are all gone. That's what I'd like."
The city's mayor Daniel Butler plans to name a new public square used for arts events after the Irish rocker, in which he suggested placing a stone sculpture of the sofa used in the cover art for several of The Cranberries' albums.
However, he suggested Dolores' bandmates Noel Hogan, Mike Hogan and Fergal Lawler and family should decide what form any permanent tribute takes.
Eileen said she had been discussing plans for a possible museum with Niall, Noel and Mike, but worried it would be difficult to maintain permanently.
"I was talking to Noel and the boys in the band and they said we should think things out, everyone think about something," she mused. "At the end of it all, we thought if there was something in a museum or something, who is going to maintain it."
She also gave her backing to the mayor's sofa sculpture, calling it a "lovely idea."
DOLORES O RIORDAN: I have suggested we call the new large square as part of the Opera Site after Dolores. I think we have... https://t.co/RsKCbUdNVf— Mayor Daniel Butler (@DanielButlerFG) January 18, 2019
The Cranberries have recently released their first new music since Dolores' tragic accidental drowning in the bathtub of a London hotel. The song, "All Over Now", is the first single from a final album, "In the End", featuring vocals she recorded before her death.