What do I need to do next after I have recorded a Quitclaim Deed through my County in order to sell my home? I received the property from my Mother who is deceased.

The fastest way to get an answer is to call the court house where you filed the quickclaim and ask what the procedure in your state is for selling the property after filing the deed.

Once you have filed the deed in your name, it is your house to sell.

( assuming you had the right to transfer the deed to your name, since your mother was deceased the deed would have had to be approved by the probate court and signed by the admin of her estate)

A quit claim deed basically says that the person signing it to another person is transferring the ownership they have in the property to the other person.
It is the lowest level of deed transfer.

But assuming you had a legal right to do the quick claim deed and it was done properly, you now put a for sale sign in the yard and sale it.

I am sure the buyer will want a title search done and also they will want title insurance when they buy the home.

Even with the quit claim deed NOT recorded, you can sell the property! The deed just needs to be presented at closing to prove you have title.