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With stock flying off shop shelves as soon as it arrives, mums and dads are turning to eBay for the dresses worn by the animated film’s heroines.

On the parents’ website Mumsnet, mothers are now swapping intelligence on how to get hold of the coveted dresses of Princess Anna and particularly Princess Elsa, which is a shimmery blue.

One said: “The costume was like gold dust in the States a couple of months ago so US people were paying British people to buy it from Disney UK and ship it out to them.”

The animated film, which won two Oscars and is based on the Hans Christian Andersen fairy tale The Snow Queen, tells the story of two sisters, one of whom finds everything she touches turns to ice.

Elsa’s shimmery blue dress is proving hard for mums to find[DISNEY] | find more blue Plus Size Wedding Dresses

The princesses unite to combat the consequences of this unwanted power – and save their kingdom.

The film received lukewarm reviews when it was released in 2013 but the recent DVD release has seen an outbreak of Frozen-mania.

There are five-hour queues to meet Elsa and Anna at Disney theme parks and videos have been uploaded online to demonstrate how to create their hair braids.

Disney has told suppliers to step up production on clothing, dolls and soft toys with a new shipment to Britain promised “as quickly as possible”.

But a spokesman admitted stock levels are not expected to return to normal in the next few weeks.

He added: “The popularity of Frozen has been phenomenal.

“We are thrilled and we are working hard to keep bringing additional product into stores.” | Find Cheap Formal Dresses

Frozen has overtaken Toy Story 3 to become the best-grossing animated film of all time, raking in £644.5million at the box office.