There is a long walk called the "Pembroke Coastal Path" and a "Pembroke" is another name for a Corgi. I suppose "Way" could be a synonym for "Coastal Path"
It has just occurred to me that there is a better answer much closer to home (for me that is). The "West Highland Way" is a 93 mile walk from Glasgow to Fort William (and yes I've done it all). Take off the "Way" and your left with a "West Highland" or "Westie". I don't know why I didn't of that one first, must be time for me to join JimB with some cocoa.
Anyone who voluntarily walks 93 miles should be permanently tucked up with the cocoa in a nice, dark room, with bars on the window, little men in white coats waiting outside........ Night John