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Photo: Billy McCrorie, CC BY-SA 2.0 via Wikimedia Commons
The first edition of Robert Burns' collected poems was published in Kilmarnock in 1786. Only 612 were printed, so these are prized rarities. The centennary of publication drew support for erecting a monument. It was completed in 1879 with an attached museum, in a grand mixture of every architectural style then known, as the centrepiece of Kay Park. But in 2004 the Burns Centre burned. The surviving parts were incorporated into a new Centre, opened in 2009, which houses the civil Registration Office and local history archives. It was nominated for the Carbuncle Cup, awarded annually to Britain's ugliest new building, for its "forced, clumpy monstrosity with pointlessly random rooves." (It lost out to Strata SE1, a tower block in London Southwark.) The centre isn't a museum, but you might research your Ayrshire ancestors here.
The Burns Monument in Kay Park, Kilmarnock, Scotland, commemorates the poet Robert Burns (1759–1796). It is located at an elevated position within Kay Park, to the east of Kilmarnock Town Centre. The monument was opened in 1879, and is a category B listed building. In 2004, following years of neglect by the local council, fire destroyed most of the building. What was left of the monument was incorporated into the new Burns Monument Centre which opened in 2009. In 2010 the centre was shortlisted for the Carbuncle Cup award run by Building Design.
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James Dick was born in Kilmarnock; he left for Australia but endowed this civic institute, opened in 1901. There's a museum and gallery.
The castle was built in the 14th century but heavily made-over in the 19th. It has a museum and country park.
"Killie" play soccer in the Premiership, Scotland's top tier. Their all-seater home ground is Rugby Park (capacity 18,000), half a mile south of the railway station off Dundonald Rd A759.