I think that she's lead from the front - serving in the war, seeing 15 Prime Ministers, through her own family tragedies and still kept on going. Still going through her red boxes, and welcomed the 15th PM 2 days before she passed. Still working for her country right up until the end - I feel that's the way she would have wanted it.
I keep getting emotional too. I don't think it matters that you/I/we didn't know her personally, it's the loss of someone so stable, so unique and someone you admired so much.