Open Question: Can I get unemployment?

I live in AZ and have been working for the same company for 2 yrs. Just about 6 months ago I had to go part time due to a high risk pregnancy I was having. Recently I spoke with my superviser and asked about going back to full time, I advised her of the reason because I work in pheonix, my husband works in tempe, we live in queencreek and only have one car. On part time I work from 7 to 1, my husband gets off at 5. So after work I pick up my children and drive all way home to queencreek, then drive all the back to tempe to pick him up at 5, we put a total of 130 miles on our car a day. We dont have any family close by that I can stay at and with a 2 yr old and 4 mo its not like I can just hang out at walmart or a local mall We end up paying 150 weekly in gas. I told my superviser and we picked out my preferred hours and she sent it to the needed dept. That was done around the beginning of april. They kept telling me check the computer for a schedule change, I keep telling them nothing is showing up. So they changed my hours request a couple times and I approved each one and still nothing. People around me have requested their changes and had there new schedule with in the week. I can no longer afford the gas nor the babysitting on my part time schedule. I have spoken with my superviser and now they seem to not be doing anything to help me with my situation. I know in AZ you can quit and get unemployment if you have a logical reason, but is my reason logical?