Augusta Ada King, Countess of Lovelace (née Byron; 10 December 1815 – 27 November 1852) was an English mathematician and writer, chiefly known for her work on Charles Babbage‘s proposed mechanical general-purpose computer, the Analytical Engine. She was the first to recognise that the machine had applications beyond pure calculation, and to have published the first algorithm intended to be carried out by such a machine. As a result, she is often regarded as the first computer programmer.[2][3][4]
Ada Byron was the only child of poet Lord Byron and mathematician Lady Byron.[5] All of Byron’s other children were born out of wedlock to other women.[6] Byron separated from his wife a month after Ada was born and left England forever. Four months later, he commemorated the parting in a poem that begins, “Is thy face like thy mother’s my fair child! ADA! sole daughter of my house and heart?”.[7] He died in Greece when Ada was eight years old. Her mother remained bitter and promoted Ada’s interest in mathematics and logic in an effort to prevent her from developing her father’s perceived insanity. Despite this, Ada remained interested in him, naming her two sons Byron and Gordon. Upon her death, she was buried next to him at her request. Although often ill in her childhood, Ada pursued her studies assiduously. She married William King in 1835. King was made Earl of Lovelace in 1838, Ada thereby becoming Countess of Lovelace.
Her educational and social exploits brought her into contact with scientists such as Andrew Crosse, Charles Babbage, Sir David Brewster, Charles Wheatstone, Michael Faraday and the author Charles Dickens, contacts which she used to further her education. Ada described her approach as “poetical science”[8] and herself as an “Analyst (& Metaphysician)”.[9]
Between 1842 and 1843, Ada translated an article by Italian military engineer Luigi Menabrea about the calculating engine, supplementing it with an elaborate set of notes, simply called “Notes”. Lovelace’s notes are important in the early history of computers, containing what many consider to be the first computer program—that is, an algorithm designed to be carried out by a machine. Other historians reject this perspective and point out that Babbage’s personal notes from the years 1836/1837 contain the first programs for the engine.[10] She also developed a vision of the capability of computers to go beyond mere calculating or number-crunching, while many others, including Babbage himself, focused only on those capabilities.[11] Her mindset of “poetical science” led her to ask questions about the Analytical Engine (as shown in her notes) examining how individuals and society relate to technology as a collaborative tool.[6]
“Ada Lovelace.” Wikipedia, en.wikipedia.org/wiki/Ada_Lovelace. Accessed 22 Nov. 2021.

Diagram of an algorithm for the Analytical Engine for the computation of Bernoulli numbers, from Sketch of The Analytical Engine Invented by Charles Babbage by Luigi Menabrea with notes by Ada Lovelace:

Diagram for the computation of Bernoilli numbers.
Ada Lovelace, Part One: How Lord Byron’s Daughter Became a Tech Visionary
Listen to this episode from Ridiculous History on Spotify. Today Ada Lovelace is hailed as one of the most important figures in the early history of computing — but, during her childhood, her mother was worried she might take after her father, the famous poet (and infamous philanderer) Lord Byron.
Ada Lovelace, Part Two: The Analytical Engine
Listen to this episode from Ridiculous History on Spotify. After marrying and having three children, Ada dove back into the world of poetical science, continuing her correspondence with Charles Babbage as he tried to garner support for his ambitious, expensive analytical engine.