Background: The Smiths were an English rock band formed in Manchester in 1982. The band consisted of vocalist Morrissey, guitarist Johnny Marr, bassist Andy Rourke and drummer Mike Joyce. Critics have called them one of the most important bands to emerge from the British independent music scene of the 1980s. NME named the Smiths the "most influential artist ever" in a 2002 poll.
Context: The band next approached the record company EMI for a contract, but were turned down. Morrissey and Marr subsequently visited London to hand a cassette of their recordings to Geoff Travis of the independent record label Rough Trade Records. Although not signing them to a contract straight away, he agreed to cut their song "Hand in Glove" as a single. Morrissey insisted that the cover image on the single was a homoerotic photograph by Jim French which he had found in Margaret Walters' The Nude Male. The single was released in May 1983, and would sell well for the next 18 months although never made it into the UK Top 40. This coincided with the band's second gig in London, at the University of London Union. Present at the gig was John Walters, the producer of John Peel's Radio 1 show; interested, he invited the band to record a session for the programme. Peel expressed the view that "I was impressed because unlike most bands... you couldn't immediately tell what records they'd been listening to. That's fairly unusual, very rare indeed... It was that aspect of the Smiths that I found most impressive." Following this radio exposure, the band gained their first interviews, in music magazines NME and Sounds.  The Smiths then agreed to sign a record contract with Rough Trade, with Travis travelling up to Manchester to meet the band at their Crazy Face rehearsal space; there they signed the contract. Only Morrissey and Marr signed it on behalf of the band, and there was no discussion at the time regarding how the band's earnings would be divided up, something that would lead to the eventual argument over royalties which resulted in the 1996 High Court case. To produce the band's first album, Travis brought in Troy Tate of The Teardrop Explodes, and under Tate's supervision the band recorded their first album, provisionally titled The Hand That Rocks the Cradle, at the Elephant Studios in Wapping, East London. Rough Trade were unhappy with the album that the band produced and Troy's production of it, ordering the band to redo it with a new producer, John Porter.  The band soon generated controversy when Gary Bushell of The Sun tabloid alleged that their B-side "Handsome Devil" was an endorsement of paedophilia. The band denied this, with Morrissey stating that the song "has nothing to do with children, and certainly nothing to do with child molesting".  The follow-up singles "This Charming Man" and "What Difference Does It Make?" fared better when they reached numbers 25 and 12 respectively on the UK Singles Chart. Aided by praise from the music press and a series of studio sessions for Peel and David Jensen at BBC Radio 1, the Smiths began to acquire a dedicated fan base.
Question: Did they end up redoing it?

Answer:
The follow-up singles "This Charming Man" and "What Difference Does It Make?" fared better when they reached numbers 25 and 12 respectively