Now maybe it sounds odd, but this is why I'll probably never forget the birthday of a woman I barely know... Well at least not personally. I have done the same thing by the way in my own work, as the main protagonist of my RPG Game "Star Story" (https://tricky.gamejolt.io/starstory/) Wendicka Lovejoy, was born June, 19th, 2975, making her exactly 1000 years younger than her spiritual father, however I only discovered Rowling did the same with Harry Potter, when the original plot for Star Story was already written, and I also have to add that Wendicka's love-interest has the same birthday as the wife I had when I wrote the final draft of the plot script, and I'm not sure if Rowling went so far. 😁
Of course, the birthday of the Weasley twins was also not randomly taken. They were born on April Fools Day... Does this tell you something about their behavior?