The probated estate is small; no state or federal taxes will be owed for the estate or for those who inherit. The property will be sold and money distributed to the heirs.
Are federal 1099s still required for each person who inherits?
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The answer is no for 1099s but yes for K-1. Here is an extract from IRS publication 559 for Survivors, Executors, and Administrators:
The personal representative must file a separate Schedule K-1 (Form 1041), Beneficiary's Share of Income, Deductions, Credits, etc. or an acceptable substitute (described below), for each beneficiary. File these schedules with Form 1041. The personal representative must ask each beneficiary to provide a taxpayer identification number (TIN), which must be reported on the Schedule K-1 (Form 1041). A $50 penalty is charged for each failure to provide the identifying number of each beneficiary unless reasonable cause is established. A nonresident alien beneficiary with a withholding certificate generally must provide a TIN (see Pub. 515). A TIN isn't required for an executor or administrator of the estate unless that person is also a beneficiary.
For the full 40+ page publication, see https://www.irs.gov/pub/irs-pdf/p559.pdf