I think bot the original time line and the war time line both ended with Tasha going with the Enterprise C. That formed a new 3rd time line nearly identical to the original.
But Tasha didn't exist in the original timeline to go to the E-C.
Right, she did not exist in the original time line. Now since she goes back in time from the War time line, she ended the original and war time line.
In the 3rd timeline she does exist, in 2 places simultaneously. Kind of like Marty McFly in BTTF2. He's at 2 different places at the dance, he created a new time line again nearly identical to the one he created in BTTF1.
The 3rd time line has War time line Tasha giving birth and dieing by execution some 20 odd years before 3rd time line Tasha dies at the hands of Armus. And because she died on Romulus, she does not effect the events that we saw. All the events in the 3rd new time line are nearly identical to those in the original, except for Tasha existing in the past of that time line.
Actually, I was refering to your statement, "I think bot the original time line and the war time line both ended with Tasha going with the Enterprise C."
Tasha couldn't have gone back to the Enterprise C in the original timeline, as she'd been killed several years earlier.