A nursemaid was a person who was employed to care for one or more children. The term was often used figuratively, referring to adults needing undue supervision.
Shortly after Admiral Kirk was given command of the refited USS Enterprise during the V'ger crisis, Captain Decker expressed his concern with, among other things, Kirk's unfamiliarity with the changes to the ship. To these concerns, the admiral simply responded that he trusted Decker to nursemaid him through these difficulties. (Star Trek: The Motion Picture)
During the 2368 Starfleet mission to investigate Ambassador Spock's presence on Romulus, the Klingon Bird-of-Prey commander K'Vada, who had transported the Starfleet team, complained that his crew had better things to do then acting as nursemaids to them. (TNG: "Unification II")