Which of the following is grammatically correct and has the same meaning?

Please help me! native grammarian of English.
Mother cut her finger while cooking.(I know this is correct.)
Then
Which of the following is grammatically correct and has the same meaning as the first sentence?

Mother cut her in the finger while cooking.
Mother cut her on the finger while cooking.
Mother cut herself in the finger while cooking.
Mother cut herself on the finger while cooking.