Where and When Did Kate and William Had The Royal Sex That Conceived The Royal Baby?

Here is £1Million question!

Thanks to (I presume) the Duke of Cambridge, Prince William, the Duchess of Cambridge and future Queen of England is pregnant.

The child will likely rule England one day or maybe rule the World, so we need to learn the facts; and therefore, you maybe silently be asking yourself the million pounds question: When and where did Kate and William had the Royal sex that conceived the Royal baby? 
This question might offend some people and make them call me a nosy pervert; well, luckily for me, gossip bloggers and readers are all nosy perverts. lol

Alright, here is the gist, representatives of the Royal Family are saying that the Duchess hasn't hit 12 weeks yet; so the fetus must have been conceived after Monday, September 10, 2012; and for the fact that she is suffering from acute morning sickness, and morning sickness shows up at the earliest four weeks of pregnancy, it seems that the little zygote was conceived before Monday, November 5, 2012.  And since she's suffering from acute morning sickness, and morning sickness shows up at the earliest four weeks in, it seems likely that the lil' royal zygote was conceived before Monday, November 5, 2012

So. Here is where, to the best of our ability to find out, the Royals were, at every date within that timeframe:

9/11 - 9/12: Singapore
9/13: Kuala Lumpur
9/14 - 9/15: Sabah, Malaysia (Borneo)
9/16 - Honiara, Solomon Islands
9/17 - Tavanipupu, Solomon Islands
9/18 - Tuvalu
9/19 - 9/20 - England
10/10 - Kate alone in Newcastle; conception impossible
10/11 - 11/4 - England

If you know where Kate and Will were engaged in royal coitus at any time between September 10 and November 4, please add your information in the comments so we can more accurately pinpoint the date.