Question: Who joined their band first, Paul Roberts with The Stranglers or Joey Cape with Lagwagon?

Context paragraphs:
Joey Cape's Bad Loud (album): Joey Cape's Bad Loud is the self-titled debut album by the band of the same name, led by Californian punk rock musician Joey Cape, frontman of Lagwagon and Bad Astronaut, released on June 9, 2011.

Doesn't Play Well with Others: Doesn't Play Well with Others is the second full-length solo album by Lagwagon and Bad Astronaut frontman Joey Cape, released on June 1, 2011.  It was released with one song at a time, each month, during 2010 on Joey Cape's official website, beginning on January 18, 2010.

Bad Astronaut: Bad Astronaut is an American indie/alternative rock band founded in 2000 by Joey Cape, singer from Lagwagon.  In Bad Astronaut, Joey Cape explores a style of alternative rock, with lyrics often about deep and intricate personal matters.

Stranglers in the Night: Stranglers in the Night is the eleventh studio album by The Stranglers and the first release on the band's own record label, Psycho, in 1992.  It opened the recording career of the Stranglers MK II, with Paul Roberts on vocals and John Ellis on guitar.  The band returned to a purer, less "produced" sound; the horns have departed and the songs have a less-constrained, harder edge.  Styles vary from ballads such as "Southern Mountains" and "Grand Canyon" to the fast-paced "Sugar Bullets" and "Brainbox".  The North American version of this album (with a white, rather than dark grey, cover) contained three extra tracks ("Coffee Shop", "Vicious Circles" and "So Uncool"), which were originally B-sides in the UK.  The album peaked at No. 33 in the UK Albums Chart in September 1992.  The single "Heaven And Hell" was released from the album, and peaked at No. 46 in the UK Singles Chart in August 1992.  The follow-up single, "Sugar Bullets", failed to chart.

Soulsec: The British band Soulsec (formerly known as The Faithband or the 'Paul Roberts Band') is the solo project of the ex Stranglers frontman Paul Roberts.

Joey Cape: Randal Joseph "Joey" Cape (born November 16, 1966) is an American singer, songwriter and producer.  Active since 1989, Cape is best known as the frontman of the California punk rock band Lagwagon.

Joey Cape's Bad Loud: Joey Cape's Bad Loud is an alternative music project that was started in 2011 by punk rock singer Joey Cape, frontman of California punk bands Lagwagon and Bad Astronaut.  The band's debut self-titled album was released on June 9, 2011.

Paul Roberts (musician): Paul Roberts (born 31 December 1959 in Chiswick, London) is an English singer who was the lead singer of The Stranglers between 1990 and 2006.

Dave Raun: Dave Raun (born June 7, 1970) a resident of Fresno, California, is the drummer for the seminal California punk rock band Lagwagon.  He also filled in on drums for a short period for Sean "SC" Sellers of Good Riddance.  Additionally, Raun drums for the punk rock cover band/supergroup Me First and the Gimme Gimmes, with fellow Lagwagon member Joey Cape.  Me First and the Gimme Gimmes also features

Let's Talk About Feelings: Let's Talk About Feelings is the fifth full-length album released by the punk rock band Lagwagon.  Singer, Joey Cape has stated that it is his favorite Lagwagon album.  NOFX's "Punk in Drublic" (1994) was a big influence on the album.

Supporting paragraphs: Paul Roberts (musician) Joey Cape
Answer: Active since 1989, Cape is best known as the frontman of the California punk rock band Lagwagon