I am always interested in unusual given names, some of which at least have a Fortean ring to them. However, these two must be outstandingly weird. Both date from 19th Century England. The first is One Too Many, who was born in 1870. The second is That's It Who Would Have Thought It, born in 1886. In the United States in days gone by I have come on a number of instances of Latrina.
In the United States in 2016, unusual names for boys included Ozias, True and Nile. A total of 83 boys were named Caspian, perhaps after the Narnian prince rather than the sea.
Star Wars names are by no means unknown. Apart from Leia there are examples of Kylo, Ray and Anakin.
The singer Sting has a daughter named Fuchsia, I imagine meaning the flower rather than the color. It is not unique, I have come on it before. Perhaps it was inspired by the character with this name in the Gormenghast novels of Mervyn Peake.
Going back to 2015, 226 boys in the U.S. were named Ridge, while 357 girls were named Wynter.
A recent contestant on the British edition of The Voice had been named Truly Scrumptious by her parents, who had been to see Chitty Chitty Bang Bang.
I would be interested in other examples.