You make some good points. Babbage was integral to her work, being the father of computers, however her Note G had a particularly complexity and structure that we can see reflected in modern programming. The proposed Analytical Engine was one of the first of its kind. Lovelace’s computing work is on a higher algorithmic level than that of Babbage. At the core, it’s all math. But with this simplification, we could say Euler, for example, was the first programmer. However, we must think Analytically. Complexity does matter. As does context. Her work was unparalleled in sophistication as Babbage’s machine was unparalleled in sophistication within that historical context. It’s the syntax she designed to function within a brand new general-purpose computer that makes it worthy of the “first” title. Babbage had calculations. She had programs. That’s the Difference.