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There is a craft called Glass Blowing, where objects such as bottles are blown, whilst the glass is in a molten state. It is rare to see this anymore. A blowers daughter would be the the daughter of a glass blower.
If you are referring to the song by Damien Rice then I believe it refers to the daughter of his clarinet teacher, which would be another type of 'blower'
Blower's daughter 
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