First, so sorry for the loss of your Mother, I know this is a difficult time for you. I agree with quiltingcandy, it will take some time to become proficient enough to make items for sale. Like any other hobby, your skill level will depend on your ability and desire to learn, and time to practice, and practice, and practice some more. Other factors to consider is the market for handmade quilts and other items, it varies from area to area, competition from other quilters in your area, and your ability to produce items people are willing to buy. Making quilts and other handmade fabric items involves hours of time as well as materials and skill. If you plan to be a full time student, how much time are you able to invest in making quilts?
Not trying to discourage you, only suggesting that you look at the bigger picture of trying to make any money from quilting or sewing. I think you will find that most of the people on this forum, quilt/sew for the love of the process, the satisfaction of just working with fabric and thread, and creating something beautiful and/or functional for family, friends, or self.
Finally, I would also suggest you do a lot of research into quilting, the process and business of it, and how to make money from it. A google search would be a good start. If there is a local quilting guild in your area, you could contact them and see if they could help in any way. A quilt shop would also be a source of learning. Again a google search would be helpful. The local guild might also be a source to sell some of your mother's supplies, save on shipping, you could ask.
Wishing you the best of luck in the future.