Although the Arcanum influence from the matching Anomalous Beast (in this case, the Hungry Bones) can last for up to a few hours, even after she's left the creature's vicinity, she will not be able to influence any other Anomalous Beast. The only one she will have influence over is the Hungry Bones while she's within its proximity.

You may have her encounter the Hungry Bones more than once if you would like to play this out in different scenarios.