Question: Room for One More is an American sitcom, principally starring Andrew Duggan and Peggy McCay as the heads of the Rose family, actors playing the children included Ronnie Dapo, who thereafter appeared as Phil Silvers's nephew on which CBS TV show?
Context: Room for One More is an American sitcom, principally starring Andrew Duggan and Peggy McCay as the heads of the Rose family which aired on ABC from January 27 until July 28, 1962.  Its humor derives from their decision to augment their existing family with two adopted children.  Actors playing the children included Tim Rooney, second son of actor Mickey Rooney, Ahna Capri, Carol Nicholson, and Ronnie Dapo, who thereafter appeared as Phil Silvers's nephew on CBS's "The New Phil Silvers Show".  Jack Albertson played a neighbor, Walter Burton, with Maxine Stuart as his wife, Ruth Burton.  Tommy Farrell played the character Fred in five episodes. Herbie Faye (February 2, 1899 – June 28, 1980) was an American actor and vaudeville comedian who appeared in both of Phil Silvers' CBS television series, "The Phil Silvers Show" (1955–1959) and "The New Phil Silvers Show" (1963–1964). Ronald L. Dapo (born May 8, 1952, Plattsburgh, New York) is an American former child actor who appeared in supporting roles in such television series as the ABC/Warner Brothers situation comedy "Room for One More" (1962) and CBS's "The New Phil Silvers Show" (1964). CBS (an initialism of the network's former name, the Columbia Broadcasting System) is an American English language commercial broadcast television network that is a flagship property of CBS Corporation.  The company is headquartered at the CBS Building in New York City with major production facilities and operations in New York City (at the CBS Broadcast Center) and Los Angeles (at CBS Television City and the CBS Studio Center). Billie Allen (January 13, 1925 – December 29, 2015) was an American actress, theater director, dancer and entertainer.  Allen was one of the first black actors and performers to appear on television and stage in the United States, at a time when those venues were largely closed to African Americans.  During the 1950s, Allen became one of the first black entertainers to have a recurring role on network television when she was cast on CBS' "The Phil Silvers Show", beginning in 1955.  She was one of the first African Americans to appear on television commercials in the U.S.  She was also one of the earliest African American actors on daytime soap operas as she appeared in the mid-1950s as the character Ada Chandler on the popular daytime soap opera "The Edge of Night".  Allen assumed the character of Ada Chandler, after yet another Broadway veteran and groundbreaking actor Micki Grant left the role as the original character "Ada Chandler."  Allen was also known for her work on and off Broadway. Phil Silvers (May 11, 1911 – November 1, 1985) was an American entertainer and comedic actor, known as "The King of Chutzpah".  He is best known for starring in "The Phil Silvers Show", a 1950s sitcom set on a U.S. Army post in which he played Master Sergeant Ernest (Ernie) Bilko. The New Phil Silvers Show is an American situation comedy starring comedian Phil Silvers which aired thirty episodes on CBS from September 28, 1963, to April 25, 1964, under the sponsorship of General Foods. Margaret Ann McCay (born November 3, 1927), known professionally as Peggy McCay, is an American actress whose career began in 1949, and includes theatre, television, soap operas, and feature films.  She may be best known for originating the roles of Vanessa Dale on the CBS soap opera "Love of Life" (a role she played from 1951–55), and Caroline Brady, which she has played since 1983 on NBC's "Days of Our Lives". The Phil Silvers Show, originally titled You'll Never Get Rich, is a sitcom which ran on CBS from 1955 to 1959.  A pilot called "Audition Show" was made in 1955, but never broadcast.  143 other episodes were broadcast - all half-an-hour long except for a 1959 one-hour live special.  The series starred Phil Silvers as Master Sergeant Ernest G. Bilko of the United States Army. Arnold M. Auerbach (23 May 1912; New York City, New York – 19 October 1998; New York City, New York) was an American comedy writer, especially for radio, television and newspapers.  Auerbach wrote radio and television scripts for Eddie Cantor, Milton Berle, Fred Allen, Frank Sinatra and Phil Silvers, among others.  In 1946 he co-wrote the play "Call Me Mister".  In 1956 he shared a Primetime Emmy Award for Outstanding Writing - Comedy Series for "The Phil Silvers Show".  Auerbach contributed humor columns to the "New York Times", and published a humorously-styled novel, "Is That Your Best Offer?"  (1971).  He published the 1965 memoir "Funny Men Don't Laugh" about his collaborations with radio comedians.
Answer: The New Phil Silvers Show