Question: Which band did Hayley Williams form in 2004, A Rocket to the Moon or Paramore?

Context articles: Hayley Williams
The Only Exception
Paramore discography
Now (Paramore song)
Ignorance (song)
Decode (song)
Ain't It Fun (Paramore song)
List of songs recorded by Paramore
A Rocket to the Moon
Paramore

Hayley Nichole Williams (born December 27, 1988) is an American singer, songwriter and musician.
 She serves as the lead vocalist, primary songwriter and occasional keyboardist of the rock band Paramore.
 The band was formed in 2004 by Josh Farro, Zac Farro, Jeremy Davis and Williams.
 The band consists of Hayley Williams, Zac Farro and Taylor York.
 The band has five studio albums: "All We Know Is Falling" (2005), "Riot!
" (2007), "Brand New Eyes" (2009), "Paramore" (2013) and "After Laughter" (2017).
"The Only Exception" is a song by American rock band Paramore.
 It was released by Fueled by Ramen in February 2010 as the third single from the band's third studio album, "Brand New Eyes" (2009).
 The song was written by band members Hayley Williams and Josh Farro; Paramore is also credited as being co-producers to the song.
 The song was generally well received by music critics; praise of the song was mainly about Williams' vocal performance.
 Music critics reviewing the song noted that "The Only Exception" was a different musical theme for the band.
The American rock band Paramore has released five studio albums, three extended plays, two live albums, eighteen singles, one video album, and nineteen music videos.
 The band was formed in Franklin, Tennessee, in 2004 by lead vocalist Hayley Williams with guitarists Josh Farro and Taylor York, bassist Jeremy Davis, and drummer Zac Farro.
 In 2005, Paramore signed with the New York City-based Fueled by Ramen and released their debut album entitled "All We Know Is Falling".
 Three singles were released from the album, but none of them charted.
 The album did not chart in the "Billboard" 200 either, although it peaked at number thirty in the "Billboard" Top Heatseekers.
 "All We Know Is Falling" received Gold certification in the United Kingdom and in July 2014 the RIAA certified the album Gold in the United States.
"Now" is a song by American rock band Paramore.
 It was released on January 22, 2013 as the first single from their fourth album, the self-titled "Paramore".
 The song impacted radio on January 29, 2013.
 It is their first single in an album to not feature former band members Josh and Zac Farro since their departure in 2010.
 "Now" received acclaim from music critics, with reviewers praising its production, lyrical content, and Hayley Williams' vocal delivery on the track.
 The single achieved moderate commercial success, ranking within the top 20 of Billboard's Hot Rock Songs and Alternative Songs.
"Ignorance" is a song by American rock band Paramore.
 It was released in July 7, 2009 as the lead single from the band's third studio album, "Brand New Eyes" (2009).
 The song impacted radio on July 28.
 The song was written by band's members Hayley Williams and Josh Farro, although Paramore is credited as being co-writers of the song.
 The track, recorded in early 2009, was the first song to be written for the album.
"Decode" is a song by American rock band Paramore for the soundtrack of the 2008 romantic fantasy film "Twilight".
 It was written by group members Hayley Williams, Josh Farro, and Taylor York.
 The song was first made available October 1, 2008 through "Twilight" author Stephanie Meyer's website.
 "Decode" was promoted to American modern rock radio by Fueled by Ramen and impacted on October 21, 2008, serving as the soundtrack's lead single.
 It is also included as a bonus track on the international version of Paramore's third studio album, "Brand New Eyes" (2009).
"Ain't It Fun" is a song by American rock band Paramore, released as the fourth and final single from their self-titled fourth studio album "Paramore" (2013).
 Produced by musician Justin Meldal-Johnsen, the song was recorded in Los Angeles.
 Development for it began with a keyboard loop recorded by its guitarist, Taylor York.
 Instruments including xylophone and bass guitar were later brought, along with a six-member gospel choir.
 York and the band's vocalist, Hayley Williams, wrote the song based on her experience of relocating and the latter's subsequent attitude.
American rock band Paramore have recorded songs for five studio albums, a box set, an extended play and two soundtrack albums.
 In 2002, at age 13, vocalist Hayley Williams moved to Franklin, Tennessee, where she met brothers Josh Farro and Zac Farro.
 The band was officially formed by Josh Farro (lead guitar and backing vocals), Zac Farro (drums), Jeremy Davis (bass guitar) and Williams (lead vocals) in 2004, with the later addition of Williams' neighbor Jason Bynum (rhythm guitar).
 In 2005, Paramore signed with the New York City-based Fueled by Ramen and released their debut album entitled "All We Know Is Falling" that year.
 Three singles were released to promote the album.
A Rocket to the Moon (commonly abbreviated as ARTTM) was an American rock band formed during 2006 in Braintree, Massachusetts, by Nick Santino, lead vocalist and rhythm guitarist.
 Guitarist and backup vocalist Justin Richards (also of Brighten), bassist and backup vocalist Eric Halvorsen, and drummer Andrew Cook eventually joined the band, forming the final member lineup.
 The band has two albums through Fueled by Ramen.
 Their debut, "On Your Side", was released on October 13, 2009. "
Wild & Free" was released on March 26, 2013.
Paramore is an American rock band from Franklin, Tennessee, formed in 2004.
 The band currently consists of lead vocalist Hayley Williams, guitarist Taylor York and drummer Zac Farro.