I am pretty much i the same boat as you - single parent of three kids who went back to school to make a better way for myself. First off, understand that you did the right thing! No matter what you are studying, having an advanced degree is essential in this world. The time and effort you have put in will show potential employers that you have tenacity and are willing to go above and beyond for your dreams.
Now, in our current economic situation, your dream job may still seem far away. That is the situation I and many others are in at the moment. However, having been in this boat for a year now, I am beginning to see a turnaround. Things are beginning to improve. The job market is opening up a bit, so hang in there.
Since you are speaking of the future in your post, I have to ask if you would be willing to move out of Utah. I lived in Montana for a while - beautiful place, but no jobs. I moved to California, Arizona and Texas over the years and found that they had better job markets for me. You didn't say what you degree is in, but if you cannot move from Utah, perhaps looking at jobs in local government may be a good idea. Both State and Federal jobs have good pay and benefits. Municipal jobs also have decent salary and benefits, but they are a little more risky as municipalities are having to cut back of late - again, that may be a short term action and may reverse itself in the future, so you should keep that as a possibility.
To get through the "now" problems - you stated that you have a disabled son. Is he receiving any benefits from the state? If not, you need to look into that. Also look into the possiblity of his getting Social Secirity disability. It certainly can't hurt to look into what options may be available to you. Food banks can be helpful for more than food. They are often staffed by volunteers who know of other services that may be available to you, so ask questions if you go to visit one.
And hang in there with the prayers. Talk with your guardian angel. They are with you to help and only need to be asked. Just remember that they may take a bit of time to respond because they are not working the the sema realm as we are - thing stake a bit of time to transition. I found that after I began asking my guardian angel for help, things improved dramatically within t matter of weeks.