Can I ask why her mum is a classic narc?
Everything we know about her we know from Anna’s perspective, which is not exactly going to be an unbiased and balanced viewpoint, and not necessarily a true reflection.
I grew up with a very abusive narcissistic mother and a lot of what Anna says about her mothers behaviour is in line with what I experienced but of course as you say that’s only based on what we know from Anna so could not be accurate or could be open to interpretation.