When did your father die?
Did your mother sign the deed before and after your father died?
Who is the grantee named in the quitclaim deed?
What your father said he was going to do with the property is legally irrelevant unless he said it in a valid will. Did he?
Who are "they," and what does "baggering" mean?
So...the property still stands in your father's name?
"Legal"? Sure, it's legal. Whether it had any legal effect depends on a lot of facts that aren't contained in your post. What a quitclaim deed does is convey any interest of the grantor in the property to the grantee. However, a quitclaim deed comes with no warranties of any sort, so if the grantor has no interest in the property, the quitclaim deed is a meaningless gesture. In the situation you described, your mother probably had at least a marital interest in the property, so she likely gave up that interest in the quitclaim deed (assuming the deed was delivered by your mother to the grantee).
We as of trying to help her out.
Who are "we"? Your post doesn't suggest this has anything to do with you. As far as the ability to "get rid of it," if the deed has been filed with the county clerk, then the answer is almost certainly no.
If your mother hasn't retained the services of a probate attorney, she should do so.
What does "filed but not went through" mean?
Of course she does. She has a right to convey her interest in the property, if any, however she sees fit.