Inis Mor, the largest of the Aran Islands, is planning a three-day 'Friends of Ted' event to mark the ninth anniversary of the death of comic Dermot Morgan, the star of the series.
However, Inis Oirr, the smallest of the islands, believes it has a bigger claim over Father Ted because local scenes, including the Plassey shipwreck, are shown in the opening scenes of the hit comedy.
However, one B&B owner on Inis Oirr said: "It's unfair that Inis Mor is cashing in on Father Ted when obviously we have closer links with the show.
"Fans and tourists would have come here in the past just to view the Plassey shipwreck. Inis Mor is trying to pull a fast one to be honest and we're not very impressed."
The Friends of Ted event features a bizarre array of themed events associated with the comedy series, such as the Father Jack Cocktail Evening, the Father Dougal Breakfast Movie Charades, the Lovely Girls Contest and Charity Auction and A Song for Europe.
Also featured on the bill are the Toilet Duck Comedy Awards, Crazy Golf, Hide A Nun and Seek, Ludo Aerobics, Buckeroo Speed Dating and a Ferrero Rocher Quiz Night.
Fancy dress five-aside football will also pit priests against nuns on the island.
The organisers hope to limit the event to 100 lucky fans and a proportion of ticket sales will go towards Croi, the West of Ireland Cardiology Foundation.
Father Ted is set on the fictitious Craggy Island but was shot at various locations in Co Clare such as Ennis, Kilfenora, Ennistymon, and Kilnaboy. The parochial house is at Glenquin, near Kilnaboy. All interior scenes were shot in London.
Father Ted was written by Arthur Mathews and Graham Linehan.
The show won a BAFTA award for Best Comedy in 1996 while Morgan won a BAFTA for Best Actor and McLynn scooped the Best Actress award.
Morgan died aged 45 on February 28 1998 after he suffered a massive heart attack at his home just 24 hours after finishing the recording of the last episode of Father Ted.