This instrumental piece is by a composer named Edward White.
"Puffin' Billy" was the name of the last operational steam locomotive in the UK, according to one source,
and this instrumental was written to commemorate same.

In the UK, this recording was often heard on
a radio show called Children's Favourites.

Play this to a US native of a certain age, however, and the response will be:
Captain Kangaroo!
referring to the 1950's/60's children's television show.

Puffin' Billy