Thanks for your comments.
I have tried toys, hanging things that claim to be parrot toys, a bell, all of which she seems to ignore. The bell she has "played with" a few times, but generally when angry or just trying hard to get my attention. When I saw her going after pencils on my desk, after climbing down from her human perch, I tried some similar sized wooden dowels. Only occasionally interesting to her. I have considered a mirror, but have doubts about that.
The corrugated cardboard box, and the occasional brown paper bag, seem to be her favorite things, which were suggested to divert from the woodwork attacks. That worked marvelously so I bought 4x4 boxes from a supply house which seemed better than trying to reclaim used packaging.
Shortly after she began acting a bit differently and the egg laying began.
She also finds any corrugated boxes external to her cage playtop to be objects of extreme interest. Also of note, it may be she has found a new game, that consists of finding some mischief and expecting me to find her, scoop her up and return her to her cage. Last few times, when she hears me coming, pauses and looks. If I don't have a towel, waddles back to what she was doing until I come back with a towel, and seems to wait for it. Then begins biting the towel, but, if I happen to leave my fingers too near her head and she notices resistance, she "eases up" momentarily. Or so it seems.
I've had conflicting views on "daylight" triggering egg laying. Most agree that parrots, generally, react to increased daylight as a signal, while some claim Greys and some others react to shortening daylight as a trigger.