Howd Homeonttherange  Your typical problem is that you are being too literal  The term Personal Union is a very special and limited Constitutional term  It refers to two or more States ie countries that recognise the same Monarch as there Head of State however their is no UNION OF THEIR PARLIAMENTS  Some examples are   i  The Union of Kalmar    Its members were the Kingdoms of Denmark Norway and Sweden  This gave rise to the termUnited Scandinavia  In  I believe Sweden left the Union  The resulting leftover Union of DenmarkNorway was dissolved in  as being allied with Napolean tunrned out badly