The Suits alum, 36, and the royal, 33, laughed and smiled as the group from Impact Arts in Scotland, compromised of 50 artists aged 8 to 26, performed 26-year-old Sheeran's track "Perfect".
The couple, who at set to Wednesday on May 19, looked more loved up than ever as they waved at crowds and met a little Shetland Pony.
Meghan and Harry looked like they were having a blast on their royal visit.
She matched the bag with a showstopping $3,681 Burberry tartan coat, which fit in perfectly in Scotland.
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She said: "Seeing the couple is a once-in-a-lifetime opportunity".
Harry was petting the pony outside Edinburgh Castle when the animal tried to take a royal bite.
The choice of wearing tartan can also be seen as a subtle tribute to Scotland.
The woman excitedly replied: "They're very Valentine'sy".
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Britain's Prince Harry and his fiancée, Meghan Markle (R) meet the mascot of the Royal Regiment of Scotland, Shetland pony Cruachan. For example, she said she has no idea what she is doing for a hen party but it has all been organised by friends. "Meghan said, 'I'm not sure - it's sorted but it will be fun, '" he revealed.
However, fans of the royal family shouldn't expect the brothers to indulge in outlandish behavior.
"Harry is our favourite, he seems more down to earth". The couple married at the same chapel as Harry and Meghan will, and similarly paraded through the streets afterwards.
After a trip to Edinburgh Castle, one of Scotland's most famous landmarks, the couple met founders and staff at the Social Bite cafe, a social enterprise which offers work to those without their own living accomodation.
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