In an email to acting theatre director Paula Gillespie, Elisa described how pigs suffer in factory farming conditions but said the theatre could help by-pass 'the whole ugly business' of factory pig farming by switching to alternative vegan products.
She added: "We respectfully urge you to honour the popular pig by taking animals off the menu during the run - or even better, for good.
"We hope you'll agree to serve only plant-based meals during the Peppa Pig's Adventures run, and Peta would be happy to help by supplying your café with vegan ham or sausages for the opening show.
"They're tasty and high in protein.
"You may just find that visitor numbers increase when news of the change gets out. Interest in vegan living is at an all-time high, as more and more people are leaving animal-derived foods off their plates - for their health.
"Your switch to a cruelty-free café would be a wonderful outcome for all these reasons, and your patrons would be able to enjoy meals with a clear conscience."
But Paula said the theatre would not be taking pork products off the menu, despite them 'respecting' the animal rights charity's point of view.
She said: "We respect Peta's point of view but we can't get ourselves tied up in knots with different things in our programme and how that might be reflected in the menu.
"It's about individual choice and we already offer good vegetarian options.
"What we want to do is give customers what they want otherwise we wouldn't be operating commercially.
"All our meat is supplied locally and responsibly from the Butcher of Brodgale and I believe is free range."