Though it obviously depends a bit on what you are willing to count as computer, or as code.
It's fine, let Ada have this. It's dead anyway and we clearly don't have nearly enough women in Computer Science so we can let this one go. We already have 99% of all stuff, we shouldn't get greedy.
Ada Lovelace is a real person. What's patronizing about it? We didn't make her up out of pity for women.
To be clear, I don't disagree with you that my argument makes little sense biologically; my point is that the question itself is phrased in a way that doesn't really parse correctly in a scientific sense. To me, it reads more like a semantics question (i.e. it depends on your definition of "chicken" and "egg) because the only way to get a scientifically precise answer is to expand the definition of "chicken" beyond recognition.
Also keep in mind with the use of "computer" -- in the past real humans, and in paricular a huge batch, are hired to compute log and sine lookup tables on hand. Earliest case of human SIMD by the way, and some would even take to break encryption by breaking and reversing code boxes, hence they are called "computers", and I reckon many of them being females.