Respuesta :
I would think that they were supportive but skeptical. They would want her to succeed but they aren't sure that she will.
Based on these lines, it seems like the parents wish that the speaker had a more reliable profession. The fact that the parents are skeptical indicates that they most likely do not think that book publishing is a profitable pursuit. Moreover, they seemed worried about the fact that book publishing is disappearing, so they believe that the author might be behind the times.