Here's a breakdown:
* Early years: Ada Lovelace was born and raised in London, where she received her education at home.
* Collaborating with Babbage: She began her work on the Analytical Engine, a mechanical general-purpose computer envisioned by Charles Babbage, while still in her late teens. She would often visit Babbage at his workshop and collaborate with him on the project.
* Home as her office: Lovelace's primary work environment was her home, where she conducted her research, wrote notes, and developed her ideas. She often corresponded with Babbage and other scientists through letters.
* Social circles: Lovelace was also a part of London's intellectual and scientific circles, where she discussed her ideas and network with prominent figures.
It's important to note that Lovelace's work was not just about the Analytical Engine itself. She was deeply interested in the potential of computing and how it could be used for scientific and mathematical purposes. Her contributions were groundbreaking, as she recognized the machine's potential beyond just calculations and envisioned its use in music composition and other fields.
So while Lovelace didn't have a dedicated workplace, her home, her interactions with Babbage and others, and her active participation in London's intellectual circles were all integral to her pioneering work.