I mean, if that's the case, than she will be as "Alma Reiss".
To be quite honest and starting with, about this character who's the mother of an illegitimate child.
I know the fact she did not care about her daughter and regretting her birth. I mean, I get it about her been killed for her not been nothing to do with Rod anyway, I mean he gets children with two wifes (first wife: 5 – second wife: 1). But there's another thing, I feel like something that nobody talks about, like isn't Alma, an escort woman who became a lover to the lord, part of the Reiss family? I mean she IS married and bless a child with him, I mean, Rod has two wifes, like it can be a thing right? I mean, like the Jaeger family, both of them each has two wifes, who Grisha married to two woman.
If that's the case, than what wouldn't made her as "Alma Reiss". I mean, she tries to tell Rod that wasn't true about her been estated or anybody even hear or know her name or the child. Rod tells her that she was the only one to understand him from something going on for the family, which at least Kenny mention it that Alma thought it will go well by having a child with him which unfortunately it didn't work.
Because without Historia, the royal family would go extinct from Grisha's slaughtering. And if that works, then she is already a political member to the family. So why not with her have the same last name with others as Reiss? I mean, it doesn't mean she has to remain a secret though she was sent away to the farmer where her family was, sometimes.
But this is my option, because I was curious about her not been part of the Reiss family.