Hi and welcome to JA. I am Ray and will be the expert helping you today.
This would likely not be considered a valid will here in Tennessee.But the children are likely his legal heirs
under the Tennessee Laws of Intestacy( means no will).If he was not married they get it all, if he remarried here they still have a share.
Here are those laws for reference.
If you die with: here’s what happens:
children but no spouse
children inherit everything
spouse but no descendants
spouse inherits everything
spouse and descendants
spouse and descendants equally share the intestate
property, but the spouse’s share may not be less than 1/3
parents but no spouse or descendants
So here these assets should be theirs if he was not married at time of death.
You are going to need a Tennessee lawyer to make your application for probate
here and be named the the personal representative.As mother of the children here you can be appointed the PR.Once appointed you would be able to transfer the assets to the children after any creditor claims are paid.
They appear to be the legal heirs and court would apply these laws of intestacy to name the children legal heirs.
Lawyer referral you need to put in the city in Tennessee where he deceased.
The kids would inherit his share likely under the laws of intestacy or the will.Either way they take the assets here.
I appreciate the chance to help you today.Please let me know if you have more follow up.