Are the remaining payable on death funds in a deceased members banking account considered inheritance?

If something, such as a POD account, passes outside the Will, it is only clawed back if the estate which passes under the Will is insufficient to pay expenses. Some states have an inheritance tax.  Some states have an income tax.  Federal income tax applies to all income, including through a POD account.

Assets held in an account that is subject to a payable on death (POD) beneficiary designation do not become part of the decedent's probate estate. Instead, they are paid directly to the beneficiary. However, with POD or transfer on death (TOD) designation, if the decedent's estate turns out to be insolvent, the creditors could legally come looking to the POD/TOD beneficiary for payment of the decedent's debts. So, there is some risk of a creditor claim, although it's likely to be small, and the probate estate assets should be used before any creditor comes after POD or TOD beneficiaries. (Note: some assets payable under beneficiary designations that are NOT POD or TOD designations, such as beneficiary designations on IRAs or other retirement plans and life insurance, have more protection against creditor claims than POD/TOD accounts do.) Georgia has no estate or inheritance taxes, so assets received from a Georgia decedent normally will not be subject to any such taxes unless the decedent's estate was large enough to generate a federal estate tax. If you have actual questions about a real situation, however, please don't rely on this kind of forum. Get an actual consultation from an attorney. That's the only way that anyone will be able to get enough information about your actual situation to give you legal advice. Best wishes to you.