Cornthwaite Park was established in 1953 after the Council bought open land then known as Church Fields. It was named after a local councillor. It has an attractive, formal air with neat flower beds, planters, ornamental tree planting, undulating grass and meandering tarmac footpaths. The park also has a children's play area, bowling green and tennis courts.
In 1991 a bronze statue of the Victorian author Lewis Carroll along with a figure a little girl he was reading to was stolen from Park. Carroll's figure was recovered and today stands in Whitburn Library, but the girl remains lost. It is generally accepted that Lewis Carroll wrote The Walrus and the Carpenter while holidaying at his cousin's house, High Croft, in Whitburn.
In 2012 a wooden sculpture of a dolphin by local chainsaw artist Tommy Craggs was placed in the corner of Cornthwaite Park.