The name Madyson is a relatively modern variation of the name Madison, which has its roots in the English surname derived from the medieval name "Matthew." Matthew itself is derived from the Hebrew name "Mattityahu," meaning "gift of Yahweh" or "gift from God." The name Madison emerged as an English surname in the late 16th century, becoming a popular given name in the United States in the 19th century.

The spelling variation "Madyson" is believed to have emerged in the late 20th century, possibly as a way to create a more unique or individualized spelling of the name. While the name Madison has a long history, the specific spelling "Madyson" is a relatively recent development and does not have a clearly documented origin or widespread historical usage.

One of the earliest recorded instances of the name Madison being used as a given name was in 1805, when James Madison, the fourth President of the United States (1809-1817), was in office. It is likely that the popularity of the name Madison was influenced by President Madison's tenure and prominence.

Throughout history, there have been several notable individuals with the name Madison or a variant spelling, including:

1. Dolley Madison (1768-1849), wife of President James Madison and a prominent figure in her own right, known for her social and political influence.

2. Madison Smartt Bell (born 1957), an American novelist and professor of English literature.

3. Madison Hubbell (born 1991), an American ice dancer and Olympic medalist.

4. Madison Pettis (born 1998), an American actress known for her roles in television shows and films.

5. Madison Wolfe (born 2002), an American actress who has appeared in various horror and thriller films.

It is worth noting that while the spelling "Madyson" is a relatively recent variation, it does not have a well-documented historical significance or widespread usage in comparison to the more traditional spelling "Madison."