"Hamilton" was written by Lin-Manuel Miranda in 2015, while Shakespeare was born in 1564 and died in 1616. Therefore, Shakespeare lived in the late 16th and early 17th centuries, well before "Hamilton" was written.
None of Shakespeare's works is called "Hamilton". There is no character by that name in any of them.
Robert Hamilton Ball has written: 'Shakespeare on silent film' -- subject(s): Film and video adaptations, Silent films, History and criticism, English drama, Motion picture plays, Technique, Film adaptations
Ernest Hamilton has written: 'Mary Hamilton'
Douglas Hamilton Hamilton has written: 'Memorial for Douglas Duke of Hamilton'
Bobb Hamilton has written: '\\'
George Hamilton has written: '\\'
Dodgson Hamilton Madden has written: 'The diary of Master William Silence' -- subject(s): Accessible book, Dramatists, Fiction, Hunting in literature, In literature, Knowledge, Sports, Sports and recreation 'The Diary of Master William Silence: A Study of Shakespeare & of Elizabethan ..'
Hamilton Montgomery has written: 'Dermatopathology'
Charles William Hamilton has written: 'Index tables to the families of Hamilton'
Nicolas Shakespeare has written: 'Guzman'
No, Pericles is a comedy written by Shakespeare.
Harry Hamilton has written: 'River song'