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Thank you for your question. Please permit me to assist you with your concerns.
I am genuinely sorry to hear that you are in this situation. In this situation only one owner can legally serve notice to any tenant on the premises, and pursue an eviction. However, and this is key, such notice and such an eviction would only be actionable if the other owner does not contest it. Since rights here are equal between your mother and your father, should the mother give notice, the father can likewise revoke the notice and grant the right to the other child to remain on premises anyway. Hence, you must get your parents to agree and if your mother does file, to get her to convince the father to ignore the filing or else your brother would continue to be able to reside on the premises.
Hope that clarifies.