Did Madame Kovarian originally come from when Trenzalore was under Siege?

In A Good Man Goes to War, Madame Kovarian said there was a war against The Doctor to which justified trying to trun River Song into a weapon against him.

In The Time of the Doctor Trenzalore was practically a warzone between The Doctor and all those who didn't want the Time Lords to return.

Tasha Lem changed the Papal Mainframe's faith to "Silence" making them the Church of Silence (to which Madame Kovarian was apart of a renegade faction of the church) and Madame Kovarian has shown to be able to travel through time having taken River Song from 51st century and to 21st century where she placed River Song in the spacesuit to wait to kill The Doctor.

So i am wondering, does that mean that Madame Kovarian originally came from the time when when The Doctor was living on Trenzalore protecting Christmas?