Anya doesn't know how her own name is written. She lied when giving her age in chapter 1, she gave the age Loid needed despite being clearly younger. So assuming someone bothered teaching her anything while experimenting on her she wasn't old enough to be taught how to write. And the orphanage probably didn't care at all.
That was probably the first time she ever saw her name written.
It said around the time Anya first enrolled in school, meaning she was in school. She has homework, tests, and exams she needs her name on. And a majority of children have their name written on their things to differentiate them from the rest of their classmates. She has to have seen her name on a regular basis.

what does that mean ╥﹏╥