Admiral Brooks was a high-ranking Starfleet officer in the 2360s.

Following the incident involving the Borg drone Hugh in 2368, Captain Picard submitted a full report to Admiral Brooks. This report was mentioned one year later in a conversation between Picard and Admiral Alynna Nechayev. (TNG: "Descent")

When Doctor Crusher was faced with a board of inquiry in 2369, she told Guinan that she could already hear Admiral Brooks telling Beverly how much she had disgraced Starfleet Medical. (TNG: "Suspicions")

This character was only mentioned in dialogue.
Though not explicitly stated as being individual, this article assumes that it was, an opinion shared by the authors of the Star Trek Encyclopedia (4th ed., vol. 1, p. 107).