Based on my current (similar) situation, the only tax you would potentially owe in the US would be on capital gains (if any) on the sale of the house.
My brother and I inherited my father's estate in 2017. There were no estate taxes due as NC abolished the estate tax in 2014 or thereabouts and the value of the estate was WAY too low to attract federal estate tax.
We were advised that our only personal tax liability would be if the house sold for more than the value listed on the forms that were filled with the county, which in NC must equal the tax value. In our case, the sales price BEFORE the RE commission and other costs of sale is slightly less than the 2017 tax value. So, no capital gains or other tax to pay on the proceeds of the sale.