In February 1261-1262 a girl was born to Alexander at Windsor; she was Margaret, later wife of Eric of Norway.

Her daughter, on the death of Alexander III.

(March 19, 1286), was the sole direct descendant in the male line.
After the birth of this heiress, Alexander won from Norway the isles of the western coast of Scotland in which Norse chieftains had long held sway.

They complained to Hakon of Norway concerning raids made on them by the Earl of Ross, a Celtic potentate.

Alexander's envoys to Hakon were detained, and in 1263, Hakon, with a great fleet, sailed through the islands.