During a blessing the Prince was twice mistakenly referred to as Head of the Commonwealth.
In a rare moment of PDA, Camilla is even pictured with her hand resting on Prince Charles' leg in a photo taken in Clarence House's Garden Room.
Ahead of the visit, Prince Charles said he was delighted to be returning to Ghana which he first visited more than 40 years ago.
Following her visit to St. Therese's School, Camilla attended a Commonwealth Big Lunch with Britain's High Commissioner to The Gambia.
Prior to Prince Charles and Camilla's visit to Ghana, President Akufo-Addo said that he looks forward to meeting them both and "we look forward to receiving him, as his visit will renew and strengthen the bonds of friendship between the United Kingdom and Ghana".
Harry then praised his father for doing "an awesome job" and guiding them "without telling us what we should be doing".
"The warmth of your hospitality this evening mirrors that of the welcome that my wife and I have been so touched to receive throughout our stay in The Gambia, and we could hardly be more grateful to you, your government and the people of The Gambia for all the arrangements that have been made on our behalf". "Some of them were happy, some of them not so happy".
Their five-day visit will be jam-packed. Meanwhile, Camilla, who is President of the Women of the World Festival, will attend an event featuring Ghana's top female leaders.
"Prince Charles, then the two sons and their families, I think they are going to be the central focus - they've earned it".
The Duchess of Cornwall will meet her husband later to fly to the city of Kumasi, where the ruler of the Ashanti Region, the Asantehene, will treat the couple to a Durbar, a colourful traditional Ghanaian welcoming ceremony. "The UK and Ghana's shared history and common values form the basis of our enduring friendship".
Ghana is the ninth country to enter into the Commonwealth, an intergovernmental organisation comprised of 53 member states that are mostly former territories of the British Empire.