By "gift" I presume you mean, after death, through a will or a trust. Is that correct? also, I presume that you are contemplating divorce now, and the transfer of mom's portion to you is after mom's death, and thus after the divorce is likely to be final, right? If so, this will be clean, and can occur as you seem to desire it happen.
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I strongly recommend that you meet with an attorney who practices in real estate and probate administration before you try to do this on your own. If it is not done properly, it can cause a royal mess and cost a lot more to fix than it would to just make sure it is done right.
First, I do not recommend a Quit Claim Deed from your mother to "gift" the property to you while she is still alive, at least not all at one time. There are numerous consequesces to this type of transaction. These consequences can be related to tax issues with IRS, or issues that you elude to in a potential divorce, or many other areas of concern. As someone posted previously, you need to consult in-depth with a Real Estate attorney and preferrably one who has experience with estate planning issues.
You also do not mention if your mother has a will, whether you are an only child, whether her will leaves her property to someone else, and a lot of other information that needs to be obtained before a proper answer can be given.
Please, before you and/or your mother make a costly mistake, hire an attorney for at least a thorough consult, and provide the attorney with as much information as they need or ask for.
This answer is not intended to be legal advice and does not create an attorney client relationship. The answer provided is only intended to be a general response based on the limited facts presented. I am a Florida attorney and only provide information based on Florida law. You should always confer with an attorney licensed to practice law in the state where the controversy exists, and not relay solely on any information obtained through message boards.