Even if you have a Durable Power of Attorney for each of your parents individually, these documents will not help you in regard to selling the home. As you indicated,
the title to the home is still in your late father's name. The Durable Power of Attorney that you had for your father automatically became invalid upon his death. You will need to have your father's estate probated. The executor (the person in charge of the estate if there is a Will) or the administrator (there person in charge of the estate if there was no Will) will be able to get the authority through the Will or a court order to sell the property. Assuming that your mother was the beneficiary of your father's estate, you will then be able to access the funds derived from the sale of the property to use for your mother's behalf through her Durable Power of Attorney.