Meghan is photographed on a sun lounger beside a pool and in the background are a man and woman that have a striking resemblance to Charles Spencer and his new wife Cat Jarman.
She travelled to the UK, with Prince Archie and Princess Lilibet, to join Harry earlier this month when he came to the end of a week-long series of events promoting his Invictus Games.
It was rumoured the duke would visit his uncle Charles at Althorp in Northamptonshire, the Spencer family's ancestral home, to leave flowers at the grave of his mother Diana, Princess of Wales who is buried on an island in a lake on the estate.
It appears the Sussexes and their children may have enjoyed a break at Althorp with one of the images posted showing Lilibet walking through formal gardens behind her brother and father in the distance.
Another picture shows Harry in a pool throwing his daughter head-over-heels in the air while his son holds onto the edge of the pool.
During their visit to the UK the duke and duchess took their children to see the King for the first time in four years at his Highgrove home.
The couple regularly feature images of their children in social media posts but they always obscure their faces or show the backs of their heads.
Archie is shown in the cockpit of a commercial aircraft surrounded by the flight crew in one picture and in another image he is walking through countryside.
The duke and duchess have a family holiday home in Portugal and one picture features a wall in a restaurant with menus in Portuguese and in another Meghan is walking through what appears to be a homeware shop.