O.K. I'll try to explain so you know what to do on Monday morning.
First, since you are an only child and your mother recently died and there is no will, you will (presumably) be the only heir. HOWEVER, to legally have all of mom's possessions transferred to your name, you MUST FILE PROBATE. That is the legal process of dividing the assets of the deceased among all living heirs.
Simple process in your case.
As for the house, it will revert to your name. However, since there is a mortgage on the home which will also transfer, you either need to satisfy the mortgage before you obtain a clear deed or speak with the mortgage company about transferring the mortgage to your name.
OR, refinance sell or one of many options.
Bu, first thing monday morning find a probate attorney to file so that you can begin the process.