In the UK, a true parkland course is one laid out in the grounds of a grand house. The major feature of parkland is small groups of majestic specimen trees. Self-seeding saplings and scrub are kept at bay by resident deer.
Examples would be Stoke Park and Knutsford GC, in the grounds of Tatton Park.
Unfortunately, pretty well any course which cannot be described as a links, heathland, headland, downland, or moorland course is now erroneously described as "parkland."
Many of these would actually be better called "Farmers' Field" courses.