Yes, you could say, Athena can be obsessed with Monroe and Pickens. But I've given her a new obsession for a while now; Norfolk.
And maybe I'm a little like her in that respect

; I can't leave Norfolk empty when I know I can keep it to myself

. First, the Marines go in (The Marines - OF COURRRRRSE!) and then the Washington Brigade with Shields. Then just reinforce and fortify and watch as Athena does the Monroe-Hop onto Norfolk.
She almost got it once, she assaulted and killed all my infantry, but I still had several batteries punching back and reinforcements were already on the way.
While Johnston sat on Norfolk, knocking incessantly on his own back door, McDowell was on the front porch peaking through the curtains. Of course, spying Granny-Lee in his frillies he didn't dare knock *

*
One thing that has been common, both at Norfolk and Pickens, once Athena has earned a bloody nose, she didn't assault again, nor do anything else. And since she so nicely pulled a large force from the field just to sit on my steps and pine *

*, how could I send her away.
Eventually, with my disrupting Richmond and supplies, Johnston ran out of them and back to Richmond to get off her Norfolk-Potato-Diet. She never took a step toward Monroe, but is still sitting on Pickens, also just waiting, and I have no idea what she's waiting on.
Personally I think if Athena took Fort Monroe, Washington, Annapolis and Baltimore should suffer from being blockaded, just like Richmond and Norfolk. I'm not sure if they are. If it were so, it would make Ft Monroe a great strategic goal for Athena. Of course, again, she may have to neglect protecting Richmond to viably attack Ft Monroe, and that might not really be possible.