This name was fairly common in France, England and the United States in the early 20th century. It became quite popular in France and England at the end of the 20th century, just when it was at a low point in the United States. It quickly climbed the American charts and entered the top ten in 2014.
Heinrich was popular among continental royalty, being the name of seven German kings, starting with the 10th-century Henry I the Fowler (the first of the Saxon kings), and four French kings. In France it was usually rendered Henri from the Latin form Henricus.
The Normans introduced the French form to England, and it was subsequently used by eight kings, ending with the infamous Henry VIII in the 16th century. During the later Middle Ages it was fairly popular, and was generally rendered as Harry or Herry in English pronunciation. Notable bearers include arctic naval explorer Henry Hudson (1570-1611), American-British novelist Henry James (1843-1916), American automobile manufacturer Henry Ford (1863-1947), and American actor Henry Fonda (1905-1982).
The biblical Moses was drawn out of the Nile by the pharaoh's daughter and adopted into the royal family, at a time when the Israelites were slaves in Egypt. With his brother Aaron he demanded the pharaoh release the Israelites, which was only done after God sent ten plagues upon Egypt. Moses led the people across the Red Sea and to Mount Sinai, where he received the Ten Commandments from God. After 40 years of wandering in the desert the people reached Canaan, the Promised Land, but Moses died just before entering it.
In England, this name has been commonly used by Christians since the Protestant Reformation, though it had long been popular among Jews.