Or was there really a show that had a little blonde girl singing with some dogs,possibly bassets, in her bedroom. They would only come alive when she was alone. They each sang a different song with her. Does anyone else remember that show?I need the name of it.

Sounds like it might have been answered here:

https://www.askmehelpdesk.com/movies/childrens-movie-80s-424286.html

Wrinkles! I still have my Wrinkles doll - I remember one of the songs they sang went "get on the Wrinkles Bandwagon..."