There are multiple artists with this name:

1) Mother Goose was a band formed in Dunedin, New Zealand in 1975.

2) Mother Goose is a band from Porvoo and Helsinki, Finland. They started playing alternative rock in 1989. They have recorded albums for a number of labels, such as Blast First and Seriously Groovy in England, and Verdura, If Society and Lamplite Ltd. in Finland. Members are: Zelig Concrete (guitar, vocals), Eija Roisko (bass) and Jussi Miettola (drums, electronics). Official Myspace: http://www.myspace.com/motorgoose

3) Mother Goose is a one man metal project based in Nashville, Tennessee. The brainchild of the mysterious Chedda Cheeze, Mother Goose combines elements of various progressive metal and punk rock sub genres to form a uniquely raw sound. Chedda Cheeze has dubbed Mother Goose's music "Trash Metal". Read more on Last.fm. User-contributed text is available under the Creative Commons By-SA License; additional terms may apply.