Jack also dished about Eugenie's engagement ring during the interview, saying, "I went and found an fantastic padparadscha sapphire, but then didn't want to do anything until Eugenie had signed off on it".
Donald Trump has called Princess Eugenie a "truly handsome bride", but incorrectly said her wedding was on Saturday.
Stemming from the Irish name Ó Fearghuis or Ó Fearghasa, the surname Ferguson originates from the Connacht region of Ireland, with particular ties to County Mayo. Meghan's engagement ring, which was designed by Prince Harry, also bears a nod to her late mother-in-law.
The bride also swapped her extravagant wedding gowns for a more relaxed biker jacket that featured her new surname spelled out in sequins.
Mr Trump wrote on Twitter on Sunday: "Princess Eugenie of York was a truly lovely bride yesterday".
"It is an honour and a privilege to be invited to photograph Princess Eugenie and Jack on this most special of days", Bramall said, according to the palace.
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One of the photos was taken as the couple returned from the carriage procession through the streets of Windsor.
The Queen, the Duke of Edinburgh, the Prince of Wales, the Duchess of Cornwall and Duke and Duchess of Cambridge are said to be "delighted" for Harry and Meghan.
A series of receptions took place in the Waterloo Chamber, the Grand Reception Room and St. George's Hall in Windsor Castle, with finger foods - including Yorkshire pudding bites and miniature Scotch eggs - and Pol Roger champagne on offer, People magazine reports.
And even as she changed outfit today, she kept the jewellery on.
The other two photographs show more traditional family and bridal party group shots. In one, Queen Elizabeth sits smiling next to Eugenie, who is her granddaughter. The eight cuties are clad in their custom looks by Amaia Kids, the pageboys wearing navy trousers and white shirts and the bridesmaids clad in white dresses, all featuring a strip of patterned fabric from a painting loved by the couple, Here by Mark Bradford.