Kamehameha I appears on the Hawaii state quarter.
Sacagawea appears on the US dollar coin. She was born in what is now Idaho, but at the time was not part of the US.
Albert Einstein appeared on the Israeli 5-pound banknote from 1972-1976, despite never having taken Israeli citizenship.
Your post is a little confusing. Yes, Queen Elizabeth fits the qualifications of the OP in the sense that she was born in England; but she is also legally styled Queen of Canada. See the Royal Styles and Titles Act, R.S.C. 1985, c. R-12, s. 2. From the link:
I presume there are similar Acts for other countries who have the Queen as Head of State, such as Australia.
I suppose it could be argued that the Queen’s somewhat unique relationship with her Commonwealth realms means that while she fits the “plain word” meaning of the OP, she doesn’t quite fit its intent. Not in the same way as Tito on banknotes of Guinea, anyway. Certainly, the Monarchy’s own website calls her “Queen of Canada”; see, for example, this page, which says, “As in all her realms, The Queen of Canada is a constitutional monarch…”
RickJay, I won’t call you “King of San Francisco,” but it is worth noting that San Francisco did have an emperor: Norton I, Emperor of the United States and Protector of Mexico. A beloved eccentric to the people of San Francisco, Norton issued his own banknotes (see one here), bearing his picture–and, ironically, he was born in London, England. Again, not the same plain word meaning as the requirements of the OP (Norton’s notes were hardly a national currency), but an interesting sidenote to the discussion nonetheless.
Looking through my foreign currency here, most countries I have been to either don’t depict people, or have the same guy on every note (kinda tells you the types of places I go 
)
Along the same lines, a picture of the Kabba in Mecca (Saudi Arabia) appears on the Iranian 2000 Rial note… and on the 1000 Riyal note is a picture of the Dome of the Rock in Israel (tho I am sure they’d argue it is Palestine).
Does any other country have more than 2 banknotes with pictures of foreign locations?
If so, then John A. Macdonald, on Canada’s 10 dollar note, should also count, since he was born in Scotland.