The plot revolves around a failing theatre promoter and his attempts to book Josef Locke, an Irish singer who was very popular here in the 1950s but was forced to flee back to Ireland after failing to pay his taxes. Locke really existed and some of the back-story is based on reality - my mum actually saw him perform under the pseudonym "Mr X" (but was it really him? :). It is funny, light-hearted, romantic, eccentric, and touching without straying into the territory of the formulaic Hollywood rom-com. Highly recommended.
Unfortunately, what it isn't is easily available on DVD in this country. Inexplicably it appears to have only been released in Germany. The disc has the English soundtrack on it but it defaults to the dubbed soundtrack and the menus are all in German. If you do manage to lay your mitts on an imported copy, the trick to getting it to play in English is to select "Sprachen Ton" then "Englische Fassung Stereo" then "Film Fortfahren." If you are unable to get hold of an imported DVD, I couldn't possibly advocate typing something like "Hear My Song" and "torrent" into Google.