Ms. Marvel seemingly had the same history as her Earth-616 counterpart.
Avengers vs. Pet Avengers
Ms. Marvel was among the Avengers called in by Commander Steve Rogers to battle Makluans attacking Xi'an. After Lockheed revealed Foom's motives to his fellow Pet Avengers, and not to the other three Avengers teams, they fought the other Avengers until the dragons escaped, with Throg explaining that they were simply searching for their eggs. Proud of their animal counterparts, the Avengers created Pet Avengers Mansion as their new base.