The song is called "The Old Sow".

It starts "There was an old farmer who had an old sow" then goes into the grunting routine). The next verse is "This old sow she had some little pigs etc.

I seem to remember the queried word sounded like "funniful" on the version I heard. This was an old 78 (remember those?) by Leslie Sarony who was noted for such comedy numbers. It must be over 40 years ago when I heard it.

Cheers, Terry.