This sounds frustrating. I agree with sunshine that it's important for Ts not to seem witholding just for the sake of it. I do think this is something she could answer. My last T would respond to anything I asked with 'why is it important for you to know?' Once, famously, she said that when I asked her what the time was! My current T will tell me the answer to any question I ask about her/her life. But I feel that unless your T is very psycho-analytic and is deliberately being a 'blank slate'- and has made sure that you understand this as a treatment strategy- then this is a reasonable question for most Ts to answer...