Ken, I don't know the Gogama Whore, but I know "The Winnipeg Whore" in a version collected in Ontario. It's one of the "whore steals a man's watch and money" family. First verse:

When first I tripped on the Chippewa River,
When first I came to Canadian shore,
There I met a Miss O'Flaherty,
Commonly known as the Winnipeg whore,
   Commonly known as the Winnipeg whore.


I also have a "Halifax Whore," collected in Newfoundland. This, by contrast, is a version of the "whore gives a man the clap" family. First verse:

Oh, it's my first night in Halifax harbor,
My first night for to go on shore,
Steer my course for the first half-center,
And have a shot at a Halifax whore.

Is either of these a version of the song you're looking for?