A question

[rap541.livejournal.com]

I remember it was revealed that Joan's biological father has schizophrenia/mental illness and lives on the streets. Am I correct in thinking her mother remarried and that man is the deceased father hinted at in season one? I thought Joan's father was dead in season one, but am I making an assumption there?

If there are two dads, is the Watson name from her biological dad or from the man her mother remarried?

I am working on a fanfic idea and I like to be clear on the facts, I just can't rmember if it was established that the man who raised Joan with her mother was deceased and the man who is her homeless biological dad is Watson Sr. Does anyone know?