First, I believe it was written by the late John Dwyer. Perhaps his daughter Maggie (Stilly River Sage) could enlighten us on that.
Then there are some garbled lines. "Bumpershoot" should be "bumbershoot," and "galoshes" has an "a" in it. Lines 5 and 6 in the second verse ("It's a crowded berth...") are very wrong, but I don't remember the right words. Woodland Park may be in there--no redwoods in Seattle!
And the third verse should be:
You sit down on a park bench To admire the view From Magnolia down to Alki Point And the ferryboats too They ply their trade so merrily 'Cross the Sound and back again That you're moved to kiss her moistly Through the omnipresent rain