An egg-and-spoon race is a sporting event in which participants must balance an egg or similarly shaped item upon a spoon and race with it to the finishing line.
The Shilly-shally occupies a place in the memory of where Ottawa Ski Club skiers ventured. It seems unlikely to me that it was considered a significant halfway point along the Ridge Road since skiers would have to ski the entire way back along Ridge Road; plus, in the early years, Ridge Road was still a road—in use by sleighs, rutted and not always the first choice of skiers.
There is a cabin on Ridge Road in Gatineau Park, Quebec named Shilly Shally. It is about half a kilometer from the Fortune Parkway and not too far from the Keogan shelter. This video talks about why Shilly Shally might be so called. It’s a phrase that means “indecisive.” — Gatineau blog