Question: Who is the sister of the writer and co-writer of the songs featured on the album Carpenters Perform Carpenter?

Context paragraphs:
I Need to Be in Love: "I Need to Be in Love" is a song written by Richard Carpenter, Albert Hammond and John Bettis.  It was released as a single on May 21, 1976.  It was featured on the "A Kind of Hush" album, which was released on June 11 of the same year.  The single featured a version without the piano lead-in and starts immediately with a flute introduction by David Shostac.  Richard Carpenter recalled that it was Karen Carpenter's favorite Carpenters song.

Clubland Classix – The Album of Your Life: Clubland Classix - The Album Of Your Life is a three-disc dance compilation album, the thirteenth in the Clubland series by Universal Music TV and All Around The World, released in the UK on 31 March 2008.  The album collects popular tracks from the previous twelve Clubland albums, a lot of the songs featured also charted highly in the UK Singles Chart.  Many of the songs featured on the "Clubland Live" arena tour of the UK held earlier the same month.

Magnet (band): Magnet was a band formed for the purpose of recording the soundtrack to the 1973 film "The Wicker Man".  The band was assembled by musician Gary Carpenter (the film's Associate Musical Director) to perform songs composed by New York songwriter Paul Giovanni.  Originally under the moniker "Lodestone", later to change to "Magnet" because of a conflict with another band, the group included Peter Brewis (recorders, jaw harp, harmonica, bass guitar, etc.), Michael Cole (concertina, harmonica, bassoon), Andrew Tompkins (guitars), Ian Cutler (violin), Bernard Murray (percussion) and finally Carpenter himself (piano, recorders, fife, ocarina, Nordic lyre, etc.).  Carpenter, Brewis and Cole had recently graduated from The Royal College of Music in London and Tompkins, Cutler and Murray were all members of Carpenter's band "Hocket".  The band also featured Giovanni on guitar and vocals for many tracks and appeared in the film in various scenes.

Lovelines: Lovelines is an album by Carpenters, released in 1989.  That same year, Richard Carpenter decided to release an album of unreleased Carpenters tracks along with selected solo tracks by his sister, Karen (from her then-unreleased solo album).

My Mistake (Was to Love You): "My Mistake (Was to Love You)" is a song recorded as a duet by Diana Ross and Marvin Gaye which was the second single released off the singers' duet album "Diana & Marvin" in February 1974.  One of the original songs featured on that album, "My Mistake (Was to Love You)" was written by Gloria Jones and Pam Sawyer, the team responsible for the Gladys Knight & the Pips' classic "If I Were Your Woman".  Pam Sawyer was also the co-writer (with Michael Masser) of the Diana Ross hit "Last Time I Saw Him" which dropped out of the Top 40 just prior to the Top 40 debut of "My Mistake (Was to Love You)" in March 1974: Sawyer would subsequently co-write (with Marilyn Mcleod) Diana Ross' 1976 #1 hit "Love Hangover".  The narrative of "My Mistake (Was to Love You)" outlines how two lovers' relationship fell apart because the man, according to the woman, felt as if "a girl loves you, you only call them weak", while the man admits that he let his lover "slip through, like grains of sand".  The song peaked at #15 on the "Billboard" R&B singles chart and #19 on the "Billboard" Pop singles chart.

The Essential Collection: 1965–1997: The Essential Collection: 1965–1997 is a box-set compilation album from The Carpenters that, with the exception of a few track changes, is essentially the same as the 1991 "From the Top" set.  Coming in at four discs and 73 songs, this album is one of the biggest of all Carpenters compilation sets.  The songs from this box set are everything from the Richard Carpenter Trio recordings from 1965 to their biggest hits in the early 1970s to the last song ever recorded by the Carpenters, "Now".

Carpenters Perform Carpenter: Carpenters Perform Carpenter is a 2003 compilation album by The Carpenters.  The album features songs written or co-written by Richard Carpenter, hence the album's title.  It featured many lesser-known songs (similar to "Reflections", released in 1998) and also included some hits such as "Top of the World" and "Yesterday Once More".

Covered, A Revolution in Sound: Covered, A Revolution in Sound is a tribute album produced and released by Warner Bros.  Records to commemorate its 50th anniversary as a record label.  The album consists of some of the greatest hits from previous and current artists from the late 20th century, while the songs featured on the album themselves are performed by current artists that are signed to Warner Bros.  Records.  Warner's sister label Elektra Records had done something similar to this nearly 20 years before with an album titled "", which featured then-current Elektra artists covering other songs originally released on Elektra or sister label Asylum Records.

If I Had You (The Carpenters song): "If I Had You" is a song recorded by singer Karen Carpenter during her solo sessions in New York with producer Phil Ramone for her subsequently shelved debut solo album.  In 1989 "If I Had You" was released as a Karen Carpenter solo single (featuring Richard Carpenter's remix ending), along with "The Uninvited Guest" (an outtake from the Carpenters album "Made In America"), also credited as a Karen Carpenter solo, as its B-side (in Japan the B-side was "Lovelines", another track from Karen's solo album, also the title track from the 1989 Carpenters "Lovelines" album).  The single was the first single from the Carpenters' album "Lovelines".  As of 2016, this is also the last Carpenters single released to American radio.  The single version has also appeared on numerous Carpenters compilations since its release.  The single reached number 18 on the 'Billboard" Adult Contemporary Chart.

Richard Carpenter (musician): Richard Lynn Carpenter (born October 15, 1946) is an American pop musician, best known as one half of the sibling duo the Carpenters, along with his sister Karen Carpenter.  He is a record producer, arranger, pianist, keyboardist, occasional lyricist, and composer, as well as joining with Karen on harmony vocals.

Supporting paragraphs: Carpenters Perform Carpenter Richard Carpenter (musician)
Answer: Karen Carpenter