No, you don't.
In most states, a Quit Claim deed only transfers the interest owned by the seller at the time they executed the deed. Usually, any interest in the property acquired after the signing of the Quit Claim Deed does not pass to the buyer
You, of course, weren't a buyer.
You are what the law calls, a giftee.
As a sharp contrast to warranty deeds, a quitclaim deed contains no warranties of title at all. The quitclaim deed only operates to convey the seller's/giftor's interest in the property to the buyer/giftee. This means that if a seller/giftor owns a building, she can give a quitclaim deed to the buyer/giftee and the seller's/giftor's entire interest has been transferred, such that it is.
This article describes WHY some crafty people use the quitclaim scheme:
Top 3 Reasons Why You Shouldn't Use A Quitclaim Deed To Transfer Title - docprepper.com
Some crafty, clever, diabolical, unscrupulous people use quitclaim deeds in tax deed sales (in such cases, the term "tax deed" or "sheriff's deed" may be used to describe the actual document), where a property is sold at public auction to recover the original homeowner's outstanding tax debt.
The auctioning body is usually the local government, which claims no interest to the property, but sells only to recover unpaid taxes without extending any warranty for the property title. The purchaser then may need to initiate a quiet title action to remove any clouds to the title.
Okay, you have two choices, both of which I suggest you discuss with a couple SC licensed real estate attorneys. Why? You want a clear understanding of what forces are operating against you and how. Remember the "Trojan Horse" ploy, right?
Has the "conveyance" been recorded with the county recorder? If not, don't complete that process. If it has been recorded, discuss how you can dispute such conveyance, as you don't want to own the property.
The fine points addressed by general and special warranty deeds are not addressed in a quitclaim deed, making the quitclaim a precarious and often difficult instrument by which to convey title. Yet, some people aren't worried about title, per se. Some people have a hidden agenda.
A quitclaim only operates to convey a legal interest in the property, a quitclaim given out by a person who does not actually own the property named in the deed will not be liable for any damages at law. There are no breached covenants because no covenants were created. The deed is just a valueless piece of paper and nothing is transferred.
This site describes the process in various SC counties:
South Carolina Quit Claim Deeds, Preparation Information and Recording