On the CD 'Dead Maid's Land' - Traditional Songs From Devon & Cornwall from the collection of Sabine Baring Gould, recorded by the Wren Trust,
http://www.wrentrust.co.uk
It is listed as Frog and Mouse - sleevenotes:"Delighting children and adults alike for centuries, here is the full story of Froggie went a-courting/Anthony Rowleythat Sam Fone of Lewdown gave to Baring Gould. The tune is very complete and beautiful and the song has resonancees of the Elizabethan England in which it was published."

First verse words:
There was a frog lived in a well
Crock-a-ma daisy, Kitty alone
There was a frog lived in a well
Kitty alone and I
There was a frog lived in a well,
And a merry mouse that lived in a dell
Crock-a-ma daisy Kitty alone,
Kitty alone and I

can transpose rest if required....... Cheers, Lucy