Question: Were the American band The Belltower and the former band the Smiths with lead singer Morrissey both rock bands?

Context paragraphs:
How Soon Is Now?: "How Soon Is Now?"  is a song by the British alternative rock band The Smiths.  Written by Smiths singer Morrissey and guitarist Johnny Marr, it was originally a B-side of the 1984 single "William, It Was Really Nothing".  "How Soon Is Now?"  was subsequently featured on the compilation album "Hatful of Hollow" and on US, Canadian, Australian, and Warner UK editions of the group's second album "Meat Is Murder" (1985).  Belatedly released as a single in the UK in 1985, it originally reached number 24 on the UK Singles Chart.  When re-released in 1992, it reached number 16 on the same chart.

Dean Butterworth: Dean Butterworth is a British-American drummer who is noted for working with English singer Morrissey, and in 2005 became the drummer for American band Good Charlotte after they parted with their previous drummer, Chris Wilson.

Morrissey: Steven Patrick Morrissey (born 22 May 1959), professionally known as Morrissey, is an English singer, songwriter and author.  He rose to prominence as the lead singer of the indie rock band the Smiths, which was active from 1982 to 1987.  Since then, Morrissey has had a solo career, making the top ten of the UK Singles Chart on ten occasions.

That Joke Isn't Funny Anymore: "That Joke Isn't Funny Anymore" is a song by British alternative rock band The Smiths.  It appears on the album "Meat Is Murder", the sole track from the album to be released as a UK promotional single.  The song was composed by guitarist Johnny Marr and singer Morrissey.

Panic (The Smiths song): "Panic" is a song by the British indie rock band The Smiths, released in 1986 and written by singer Morrissey and guitarist Johnny Marr.  The first recording to feature new member Craig Gannon, "Panic" bemoans the state of contemporary pop music which "says nothing to me about my life", and exhorts its listeners to "burn down the disco" and "hang the blessed DJ" in retaliation.  The song was released by Rough Trade Records as a single and reached number 11 in the UK Chart.  It was later released on the compilation albums "The World Won't Listen" and "Louder Than Bombs".  The song "...extended The Smiths' unorthodox tradition of releasing a non-album A-side" as a single.

Ludus: Ludus was a British post-punk band formed in Manchester in 1978 which featured artist, designer and singer Linder Sterling.  It played jazz-, avant-garde- and punk- oriented material.  The band influenced singer Morrissey, later of The Smiths and a solo artist, who remains one of the group's most vocal fans.

Morrissey discography: This is a discography for the English alternative rock singer Morrissey.  Since The Smiths disbanded in 1987 he has released ten studio albums, two live albums, eleven compilation albums, one extended play (EP), forty-six singles and seven video albums on HMV, Sire Records, Parlophone, Polydor, RCA Victor, Island, Mercury, Sanctuary Records, EMI, Reprise Records, Rhino, Decca Records, Harvest Records, Capitol Music Group and BMG.

Hand in Glove: "Hand in Glove" is a song by the British alternative rock band The Smiths, written by singer Morrissey and guitarist Johnny Marr.  It was released as the band's first single in May 1983 on independent record label Rough Trade Records.  "Hand in Glove" peaked at number three on the UK Indie Chart.  It did not chart (top 75) but made number 124 outside the UK singles chart.  A remixed version of the song was featured on the band's debut album, "The Smiths", in 1984.  That same year, a cover version recorded by singer Sandie Shaw featuring Smiths members Marr, Andy Rourke and Mike Joyce as backing musicians reached number 27 on the UK Singles Chart.

The Belltower: The was an American alternative rock band from New York City often associated with the shoegazing scene, with members who later joined Luna and Fountains of Wayne.

There Is a Light That Never Goes Out: "There Is a Light That Never Goes Out" is a song by the British alternative rock group The Smiths, written by singer Morrissey and guitarist Johnny Marr.  It was originally featured on their third album "The Queen Is Dead" (1986).  The song was released as a single in France in 1987, but in other territories - including the United Kingdom - was not released as a single until 1992, five years after The Smiths split up.  It reached number 25 on the UK Singles Chart.  Morrissey released a live version of the song as a double A-side with his cover of Patti Smith's "Redondo Beach" in 2005 - this version reached number 11 in the UK charts.  The song has received considerable critical acclaim.

Supporting paragraphs: Morrissey The Belltower
Answer: yes