This footage from the Yorkshire Film Archive contains a trip on the miniature railway that used to go round the lake at Golden Acre. (Back then the lake was much bigger than it is today, and the railway, sadly, no longer exists)
http://www.yorkshirefilmarchive.com/film/childrens-day-roundhay-park-and-golden-acre-park (http://www.yorkshirefilmarchive.com/film/childrens-day-roundhay-park-and-golden-acre-park)
The tank loco is a 20 inch gauge Hudswell Clark steam outline diesel hydraulic 4-6-4 built for the park in 1932 with the name
A rather sad effort they did though
(https://forum.009society.com/proxy.php?request=http%3A%2F%2Fi581.photobucket.com%2Falbums%2Fss253%2Fcommerlad%2FDSCS0009.jpg&hash=12f644b71f9bd041a7372911a9b4380b3feae403) (http://s581.photobucket.com/user/commerlad/media/DSCS0009.jpg.html)