(Spoilers for book two.)
I think we have been given enough hints to establish that
Kvothe’s mother is the eloped Lackless sister.
However, I’m still unclear about her first name. The only mention seems to be in the badly metred mock poem Kvothe’s father writes about her (and as a note of interest, the father’s name is mentioned repeatedly: Arliden):
Dark Laurian, Arliden's wife,
Has a face like a blade of a knife
Has a voice like a prickledown burr
But can tally a sum like a moneylender.
My sweet Tally cannot cook.
But she keeps a tidy ledger-book
For all her faults I do confess
It's worth my life
To make my wife
Not tally a lot less
So what’s it? Laurian (first line) or Tally (fifth line)?
Someone remarked that the last two lines sound a lot like “To make my wife Netalia Lackless” and given what we know about her, that seems too much of a coincidence, and Tally could be short for Netalia.