They fell in love while playing the disastrous marriage between Mary Queen of Scots and the arrogant Lord Darnley.

But Saoirse Ronan and Jack Lowden must be hoping life won’t imitate art too closely, as wedding bells seem to be on the horizon for the Hollywood stars.

The Little Woman actress appeared to be wearing an engagement ring as she stepped out of her £2.5million home in north London, accompanied by her beau and their terrier Fran.

The happy pair put on a loved-up display as Ms Ronan, 28, stopped to kiss the Dunkirk actor.

Both keen walkers, they sported matching outdoor gear of riding boots, blue denim jeans and raincoats as they enjoyed the stroll last Sunday.

Ms Ronan, 29, and her actor boyfriend, 33, set out from their £2.5million home in Islington, north London, with their terrier Fran. She then stopped to plant a big kiss on Lowden’s cheek

Saoirse Ronan and Jack Lowden will be hoping life does not imitate art as the couple stepped out, with the actress appearing to wear an engagement ring

Wedding rumours began when the couple refused to deny that the Dunkirk star proposed during a hiking holiday in Perthshire in July

The couple have refused to deny that Lowden, 32, got down on one knee during a hiking holiday in Perthshire last July.

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Rumours were sparked after the Scottish actor shared a picture on Instagram of the view from Ben Vrackie, with a hand appearing to be Ms Ronan’s bearing a diamond ring.

Further speculation was fuelled after the pair bought a three-bedroom Victorian end-of-terrace property in the upmarket North London enclave of Islington.

The couple first met in 2018 on the set of the Mary Queen of Scots film, in which Ms Ronan played the title role and Lowden as her husband, Lord Darnley.

They fell in love while portraying the disastrous marriage between Mary Queen of Scots and the arrogant Lord Darnley

The Irish actress is seen as one of the rising stars of Hollywood, boasting four Oscar nominations for her roles in films including Atonement and Brooklyn.

She recently worked alongside Paul Mescal, a fellow Irish superstar from the BBC hit series Normal People, as an unhappy married couple in the sci-fi drama, Foe.

Lowden, who grew up in Oxton in Berwickshire, has received plaudits for his portrayal of the criminal Kenneth Noye in The Gold and also stars alongside Gary Oldman in the popular Apple TV+ spy drama, Slow Horses.

He met the Irish actress just two years after landing his big break in the 2016 BBC adaptation of War and Peace.