Answer by taking a quote from the following article:

Booth was born in Bel Air, Maryland, into the English American theatrical Booth family. He was the illegitimate son of the famous actor, Junius Brutus Booth, an Englishman, who named Edwin after Edwin Forrest and Thomas Flynn, two of Junius' colleagues. He was the elder brother of John Wilkes Booth, himself a successful actor who gained notoriety as the assassin of President Lincoln. Nora Titone, in her book My Thoughts

In early appearances, Booth usually performed alongside his father, making his stage debut as Tressel or Tressil in Colley Cibber's version of Richard III in Boston in 1849. His first appearance in New York City was in the character of Wilford in The Iron Chest, which he played at the National Theatre in Chatham Street, on the 27th of September 1850. A year later, on the illness of the father, the son took his place in the character of Richard III.  After his father's death in 1852, Booth went on a worldwide tour, visiting Australia and Hawaii, and finally gaining acclaim of his own during an engagement in Sacramento, California, in 1856.  Before his brother assassinated Lincoln, Edwin had appeared with his two brothers, John Wilkes and Junius Brutus Booth Jr., in Julius Caesar in 1864. John Wilkes played Marc Antony, Edwin played Brutus, and Junius played Cassius. It was a benefit performance, and the only time that the three brothers appeared together on the same stage. The funds were used to erect a statue of William Shakespeare that still stands in Central Park just south of the Promenade. Immediately afterwards, Edwin Booth began a production of Hamlet on the same stage, which came to be known as the "hundred nights Hamlet", setting a record that lasted until John Barrymore broke the record in 1922, playing the title character for 101 performances.  From 1863 to 1867, Booth managed the Winter Garden Theatre in New York City, mostly staging Shakespearean tragedies. In 1863, he bought the Walnut Street Theatre in Philadelphia.  After John Wilkes Booth's assassination of President Lincoln in April 1865, the infamy associated with the Booth name forced Edwin Booth to abandon the stage for many months. Edwin, who had been feuding with John Wilkes before the assassination, disowned him afterward, refusing to have John's name spoken in his house. He made his return to the stage at the Winter Garden Theatre in January 1866, playing the title role in Hamlet, which would eventually become his signature role.

where did he go
visiting Australia and Hawaii, and finally gaining acclaim of his own during an engagement in Sacramento, California, in 1856.