The Past Anew
After Jillian received a blood transfusion of Bloodshot's enhanced plasma, her DNA, which had been altered by Project Hope and Glory and provided her with Para–human abilities, enabled her to survive the nanites, which tended to be fatal to anyone other than Harbingers like Bloodshot, whose ability kept him alive.
The Return of Rising Spirit
While it seemed like Jillian had received all of Bloodshot's abilities, including the power to control electronics, she later revealed that she was only able to do so because she was pregnant with Bloodshot's twins, and once she gave birth to them she lost the ability to control electronics.
Like Bloodshot, Jillian apparently died in an explosion in the Arctic during an encounter with Proteus.