The "shape cut" of the stamp shown is not that unusual, as most coil stamps were affixed to envelopes with machines, many of which did not do a good job of cutting the stamp exactly on the perforations.
For those who may be interested in the sender, "Princess Pat, Ltd.", I came upon this link which provides an extensive biography of how the company evolved through to its demise in 1960s. I found it to be an interesting read:
http://collectingvintagecompacts.bl...of-this.html