The name Elyzza is a modern variation of the name Eliza, which has its roots in the Hebrew name Elisheva, meaning "God is my oath." The name gained popularity during the Middle Ages and the Renaissance period in Europe.

Eliza was originally a shortened form of the biblical name Elizabeth, which was derived from the Hebrew name Elisheva. The name Elizabeth was widely used in medieval Europe and was particularly popular among the royalty and nobility.

One of the earliest recorded mentions of the name Eliza can be found in the works of William Shakespeare, who used the name for a character in his play "The Taming of the Shrew," written around 1594. This early usage of the name helped to establish its popularity in English-speaking countries.

Throughout history, there have been several notable individuals who bore the name Eliza or its variations. One of the most famous was Eliza Lucas Pinckney (1722-1793), a British-American plantation owner and entrepreneur who played a significant role in the cultivation of indigo in the American colonies.

Another notable Eliza was Eliza Haywood (1693-1756), an English writer and actress who was one of the most popular and prolific authors of her time. She wrote novels, plays, and periodicals, and was celebrated for her works of amatory fiction.

In the 19th century, Eliza Rachel Félix (1820-1858), better known as Rachel, was a French actress who achieved great fame and success on the stages of Paris. Her performances in classical French tragedies earned her widespread acclaim and a reputation as one of the greatest actresses of her era.

Eliza Edmunds Hewitt (1851-1920) was an American educator and social reformer who founded the School of Kindergarten Education at the Pratt Institute in Brooklyn, New York. She played a crucial role in establishing kindergartens as an integral part of the American education system.

Lastly, Eliza Doolittle was the name of the central character in George Bernard Shaw's play "Pygmalion," written in 1912. The character, a poor flower girl who undergoes a transformation under the tutelage of a phonetics professor, became an iconic figure in literature and was later adapted into the popular musical "My Fair Lady."