is it named after any person?
Yes, Antoinette "Tony" Perry
Tony Award
The awards founded by Brock Pemberton are named after Antoinette "Tony" Perry, an actress, producer and theatre director who was co-founder and secretary of the American Theatre Wing. 
was katharine hepburn an actress? Yes, an American actress. when did she start working in theatres? November 12, 1928 which theatre? Cort Theatre what was its record in box office? The Tony Award-winning revival of "Fences" achieved the box office record. can you name any of her successful works during 1932 to 34? "A Bill of Divorcement" and "Christopher Strong" is the latter one a film or drama? It is a romantic drama film when was it released? 1933 any other actor from it other than her? Colin Clive who was the founder of the above mentioned award? American Theatre Wing why is the award given? For Broadway productions and performances.
wiki:5412615
Tony Award [SEP] Introduction
The trophy consists of a medallion, with a face portraying an adaptation of the comedy and tragedy masks, mounted on a black base with a pewter swivel. The rules for the Tony Awards are set forth in the official document "Rules and Regulations of The American Theatre Wing's Tony Awards", which applies for that season only. The Tony Awards are considered the highest U.S. theatre honor, the New York theatre industry's equivalent to the Academy Awards (Oscars) for film, the Emmy Awards for television, and the Grammy Awards for music. It also forms the fourth spoke in the EGOT, that is, someone who has won all four major annual American entertainment awards.