The correct answer is: She said that her brother was getting married.
The sentence “She said that her brother was getting married” is in the past tense. This is because the speaker is referring to an event that happened in the past. The speaker is not saying that her brother is getting married now, but that he was getting married at some point in the past.
The other options are incorrect because they do not reflect the tense of the original sentence. Option A, “She said, ‘Her brother is getting married,'” is in the present tense. Option B, “She told, ‘Her brother is getting married,'” is also in the present tense. Option C, “She said, ‘My brother is getting married,'” is in the first person, while the original sentence is in the third person. Option D, “She said, ‘My brother was getting married,'” is in the past tense, but it does not reflect the fact that the speaker is referring to an event that happened in the past.