Which moneys?

AK asks a very pertinent question. If you are referring to support payments, no. Support ends with the death. However, the estate would be on the hook for any arrears owed. And the children should be entitled to a share of the estate unless there is a will disinheriting them.

Is it not the non custodial parent that pays support, and they live with the custodial parent ?

I think they need to explain the question in more detail as to what they are asking

AK asks a very pertinent question. If you are referring to support payments, no. Support ends with the death. However, the estate would be on the hook for any arrears owed. And the children should be entitled to a share of the estate unless there is a will disinheriting them.

The custodial parents would normally receive support and be entitled to CS arrears.

Who has custody now?

The custodial parents would normally receive support and be entitled to CS arrears.

Who has custody now?

Depends on what type of custody. If its physical custody yes, but it may not be. We really don't know until the OP explains.