If I am the Administrator, can the refund go to her Estate, or does the refund come directly to me? and do I need to claim that as income in the FOLLOWING year?
The refund for a deceased taxpayer would go to the estate. Once the estate is closed any remaining funds would be distributed to the next of kin.
Per the IRS, if the estate has to file a return, "A deceased person's estate figures its gross income in much the same manner as an individual. See the definition of adjusted gross income. Most deductions and credits allowed to individuals are also allowed to estates and trusts. However, a trust or an estate may also have an income distribution deduction for distributions to beneficiaries.
Report income distributions to beneficiaries and to the IRS on Schedule K-1 (Form 1041).
See the link below for more information: