Who among the following attached himself to the Earl of Nottingham’s theatrical company?

The correct option is Christopher Marlowe.

In Elizabethan England, actors and playwriters associated themselves with patron-sponsored theatrical companies to perform legally. The Lord Admiral's Men was one of the most prominent playing companies of the era, which was patronized by Charles Howard, 1st Earl of Nottingham (often referred to as the Earl of Nottingham’s theatrical company).
Christopher Marlowe, one of the foremost Elizabethan tragedians, wrote his major plays—such as Tamburlaine the Great, The Jew of Malta, and Doctor Faustus—specifically for the Lord Admiral's Men, thereby closely attaching himself to the Earl of Nottingham's company.