Conversation so far:
How did the Smiths come about?
Marr decided that he wanted to establish a new band, and subsequently turned up on the doorstep of Morrissey's house – 384 Kings Road, Stretford– accompanied by mutual friend Steve Pomfret.
Who are the members of The Smiths?
Morrissey, Johnny Marr, Andy Rourke, Mike Joyce
What titles were on The Smiths' debut album?
Both Reel Around the Fountain and The Hand That Rocks the Cradle from The Smiths' debut album met with controversy.
Why was there controversy around both Reel Around the Fountain and The Hand That Rocks the Cradle from The Smiths' debut album?
some tabloid newspapers alleging the songs were suggestive of paedophilia, a claim strongly denied by the Smiths.
What happened to The Smiths after this accusation alleging the songs were suggestive of paedophilia, a claim strongly denied by the group?
The album was followed the same year by the non-album singles Heaven Knows I'm Miserable Now and William, It Was Really Nothing“.

Question: What awards if any did they win?
Self-contained rewrite: What awards if any didThe Smiths win for non-album singles Heaven Knows I'm Miserable Now and William, It Was Really Nothing“?