Donald Trump was presented with an illustrated ancestral chart capturing his Scottish heritage by Theresa May, as they met for talks.
The family tree traces the US president's lineage through his mother, Mary Anne Macleod, who was born in 1912 on the Isle of Lewis in the Hebrides.
It follows her family on both sides back three generations through official records and old parish registers.
The family line goes back on the paternal side to the birth of Mr Trump's great, great, great grandfather, Kenneth Macleod, born near Stornoway in 1776 - the year of the US declaration of independence.
Set against the background of the 19th century official ordnance survey map of the area, it also depicts scenes of Stornoway from later that century.
The gift carries the crest and tartan of the Macleod clan.
Downing Street said the gift to President Trump, who is the first US president for more than 100 years with a parent born in the UK, "underlines the deep historical links" that many modern-day Americans have with the United Kingdom.
Mrs May gave Melania Trump a bottle, engraved with her initials, of bespoke perfume by J. Floris.
The scent is called The First Lady and is made up from the sakura cherry blossom prominent in Washington DC, rose heart for the national flower of the United States and England, and bergamot with its "distinctively British scent" of Earl Grey tea, No 10 said.
Products from J. Floris, the Queen's appointed perfumer, are believed to have been used by Florence Nightingale, Winston Churchill, Marilyn Monroe and the late Diana, Princess of Wales.