Question: When was the American actress, singer, and playwright died who had guest appearance in "Monday" with Darren E. Burrows?

Context paragraphs:
Carrie Hamilton: Carrie Louise Hamilton (December 5, 1963 in New York City – January 20, 2002 in Los Angeles) was an American actress, singer, and playwright.  She was the daughter of comedian Carol Burnett and producer Joe Hamilton.

Monday (The X-Files): "Monday" is the fourteenth episode of the sixth season of the science fiction television series "The X-Files".  It premiered on the Fox network on February 28, 1999.  It was written by Vince Gilligan and John Shiban, directed by Kim Manners, and featured guest appearances by Carrie Hamilton and Darren E. Burrows.  The episode is a "Monster-of-the-Week" story, unconnected to the series' wider mythology.  "Monday" earned a Nielsen household rating of 10.2, being watched by 16.7 million people in its initial broadcast.  The episode received positive reviews from television critics.

Forty Shades of Blue: Forty Shades of Blue is a 2005 independent film directed by Ira Sachs.  It tells the story of Alan James (Rip Torn), an aging music producer who lives in Memphis, Tennessee with his much younger Russian girlfriend, Laura (Dina Korzun).  Their life together is complicated by the presence of Alan's adult son Michael (Darren E. Burrows) from a previous marriage, who forces Laura to reflect on the nature of her impending marriage and her future prospects.  The film was inspired by Satyajit Ray's "Charulata" (1964).

ANTTEX: Darren E. Johnson (born March 5, 1966 New York, NY), also known by his pseudonym ANTTEX, is an American recording artist, record producer, photographer and filmmaker from Addisleigh Park, Queens, New York.

Yasue Sato: Yasue Sato (佐藤 康恵 , Satō Yasue , born December 7, 1978 in the Saitama Prefecture, Honshū, Japan) is a Japanese actress and model, and formally trained in ballet.  She made her acting debut in the movie Bounce Ko Gals (1997), for which she was given a Best New Talent award at the Yokohama Film Festival.  She has since appeared in other feature films including I Love Peace (2003), Mimibukuro Ghost Stories (2004) and Welcome, Patient (2005).  She has also made numerous stage performances, including Mirandolina (1998) and Wee Thomas (2003).  in 2001, made a guest appearance in the movie Hyakujuu Sentai Gaoranger: Fire Mountain Roars.  She played as Nagi Saijyo in Ultraman Nexus.  Her most recent role was a guest appearance in GARO where she played as the Makai Priestess Jabi for 3 episodes.  She returned to show in .  She is also a music artist under the Japan Sony label.  She was also the voice actress for Demento, or the voice actor for the video game, Haunting Ground.  She worked under her stage name "さとう やすえ" (the same reading) from 2006 to 2012.

Amy Berg (writer): Amy Berg grew up in Castro Valley, California, USA.  She is an American TV writer and showrunner, known best for her work on "Counterpart", "Da Vinci's Demons", "Person of Interest", "Eureka", "Leverage", and "The 4400".  Her other television credits include "Boomtown" and "Threshold".  She was also a featured performer at w00tstock 3.0 during San Diego Comic Con in 2011.  In September 2011, she made a guest appearance as herself in an episode of "Eureka" guest star Felicia Day's web series "The Guild".  Similarly, in May 2013 she made a guest appearance as herself in an episode of "Eureka" and "Leverage" guest star Wil Wheaton's web series "TableTop".

Darren Sherkat: Darren E. Sherkat (born December 31, 1965) is an American sociologist and professor in the department of sociology at Southern Illinois University Carbondale (SIU Carbondale).

Holby City (series 18): The eighteenth series of the British medical drama television series "Holby City" commenced airing in the United Kingdom on BBC One on 13 October 2015 and ran for 52 episodes, ending on 4 October 2016.  The series saw the return of Jac Naylor (Rosie Marcel) and Ric Griffin (Hugh Quarshie), as well as the arrivals of Bernie Wolfe (Jemma Redgrave) and Jasmine Burrows (Lucinda Dryzek).  Former series regulars Antoine Malick (Jimmy Akingbola) and Chantelle Lane (Lauren Drummond) reprised their roles for a guest appearance.

Darren Carter (comedian): Darren Carter is an American actor and stand-up comedian.  Carter has performed on "The Tonight Show" with Jay Leno, "Comics Unleashed", "Premium Blend" on Comedy Central, and as a supporting character in the 2005 feature film "Be Cool" with John Travolta.  Carter debuted on the comedy scene in 1996 with an appearance on Showtime's "Latino Laugh Festival" followed by various stand-up performances and guest starring roles on television and in movies.  Darren had his own Showtime special titled, "That Ginger's Crazy."  He first comedy CD was titled, "Shady Side."  His second comedy CD was called, "That Ginger's Crazy."  Darren was a guest star on the hit series, "The Jamie Foxx Show."  In addition to the movie, "Be Cool", Darren was also in the movies "Savage", "Who Made the Potato Salad", "Uncle P", and "Love Chronicles", and "Bobby Khan's Ticket to Hollywood."  One of his stand-up pieces was also animated for a popular "Darren Carter Baby Cartoon" video on YouTube.

Darren E. Burrows: Darren E. Burrows (born September 12, 1966) is an American actor and director.

Supporting paragraphs: Monday (The X-Files) Carrie Hamilton
Answer: January 20, 2002