"My brothers seem to think that they will receive money from the sale of the home to me."
Actually, if the title is in her name, the check is likely to go to her. A probate action would have to be filed just to cash the check. In addition, it may be difficult to sell the property in her name without a probate action to begin with, so I am still not sure how you are doing this (if you want me to explain why I am saying this, let me know - I simply do not want to sidetrack us).
"I am concerned they will not deed the property and I will not be able to complete this transaction. If they refuse to deed their share , how should I proceed?"
Well, if the parties do not agree to sell, any owner can file for a partition action under Tex. Prop. Code Chapter 23. See HERE. Also see HERE. The Court can then order the property sold and proceeds split according to interest ownership, or, order a party to be bought out, etc - the court has discretion to rule on what it feels to be an equitable (fair) division.
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