On My...is a default calendar within iCal on each device, Mac, iPad, iPhone, etc. On my devices, unless I assign an event to a particular calendar before hitting the final Done, iCal assigns the event to the On My...calendar for the device I am using at the time. You can move the event to another just by clicking the event and then edit and select the appropriate calendar.
At least that is what works for me
Ralph - Thanks for the superfast and clear reply! Indeed this may be the solution and if so I'll come back and credit you with that!
But just like to leave this question unanswered for a few more (seconds!-- wow fast reply thanks again!)-- to see what others say -- I did a search before submitting but didn't get anything--
I will also check with my iPad (only other devise linked to iCloud at this time).
Wednesday 20 June 2012