The name Braxtyn is a relatively modern invention, likely originating as a creative spelling variation of the more established name Braxton. There is no clear evidence of its use prior to the late 20th century.

Braxton itself is an English surname that can be traced back to the 13th century. It is believed to have derived from the Old English words "bræc" meaning brake or fern, and "tun" meaning settlement or enclosure. Thus, the original meaning of Braxton may have referred to a settlement near a fern-covered area.

While Braxton has a long history as a surname, its use as a given name is more recent. The earliest recorded example of Braxton as a first name dates back to the late 16th century, when a Braxton Bukke was listed in the parish records of Elmstead, Essex, England, in 1592.

One of the earliest notable individuals with the name Braxton was Carter Braxton (1736-1797), an American planter and politician who was a signer of the Declaration of Independence. Another historical figure was Braxton Bragg (1817-1876), a Confederate general during the American Civil War.

In the 20th century, Braxton Miller (born 1992) gained recognition as an American football quarterback who played for Ohio State University and the Houston Texans in the NFL. Braxton Hicks (1820-1897) was a British obstetrician who gave his name to the Braxton Hicks contractions experienced during pregnancy.

While the name Braxtyn is a more recent variation, it seems to share the same linguistic roots as Braxton. However, there are no known historical figures or records specifically associated with the spelling Braxtyn prior to its emergence as a given name in the late 20th or early 21st century.