Nick Jr Miss Spider's Sunny Patch Friends Encourages Preschoolers (2010-2012) HQ. Bug Your Mom Day / Cloudy Day in Sunny Patch - Ep. 2 - Duration: 23:35.
Like most American and Canadian shows targeted towards preschoolers, Miss Spider's Sunny Patch Friends had a UK dub. Like Oswald, it did not air on Nick Jr. (despite the fact that Nick Jr. exists in the U.K.), but on Five's Milkshake Block. In the UK dub, the theme song is retained from the North American English dub.
Findings
One Miss Spider DVD has been released in the UK with the title 'Miss Spider's Sunny Patch Friends: Best Bug Buddies', and it has the UK dub, as proven by a reviewer, who was expecting the DVD to use the North American dub.
Gilby1385 uploaded 'The Big Green Bug' with the U.K. dub, this episode was featured on the 'Milkshake Treats' DVD. It can be seen here. https://www.youtube.com/watch?v=YdQc0ScHVrs
JANUARY 8, 2017 UPDATE: The entirety of 'Miss Spider's Sunny Patch Friends: Best Bug Buddies' has been found! https://www.youtube.com/watch?v=AYWfBBmnpL4