You might want to speak with an estate attorney. If you need a reference, don't hesitate to contact me.
you can't get someone's name "removed" from a deed as this would present obvious issues in the chain of title. To transfer title to another party your mother would need to execute a special (or general) warranty deed that transfers all your mother's rights, title and interests in the property to the other party. Consult with legal counsel to have the deed drafted properly. A quit claim will not accomplish this as this type of document is not recognized by title companies in Texas.
I agree with the comments made by Guy Gimenez in using a General (or Special) Warranty Deed to transfer the ownership of the property to yourself, or to those who would be in-line to be the heirs of the property. Multiple ownership by heirs is its own headache, but maybe you don't have that situation. Additionally you should consult with your CPA and / or a Real Estate Attorney about tax consequences (if any). Also transfer of ownership carries advantages (after a waiting period) when dealing with rest homes or nursing homes for elderly relatives.
I would be happy to discuss further with you on a face to face basis.
They offer 24/7 live online chat if you have questions or need a consultation.
1. Is contact her CPA and check the tax consequences....
2. Check with her family attorney about will/inheritance/taxes
3. Then contact a title company to accomplish this.
If there is a mortgage on the home, you might not be able to do this.
My thought as a non CPA or attorney is that it might be best to put it in a trust.
Why does she no longer want her name on the deed?
Why does she want to do this? Is it for financial reasons?
She needs professional advice. A consultation with a real estate attorney is what I suggest.