BeanE asked me to take a look at this docket. This is the court in which I practice every day, so I'm pretty used to their docket system.
My interpretation is: On Sept. 27, Elizabeth's attorney filed a "Motion to Change Counsel." On September 30, he realized that wasn't exactly the right motion to file, and withdrew the motion. On October 1, he filed the correct motion: a "Motion to Withdraw and Request for Appointment of Counsel."
I haven't been keeping up on this case, but I assume Nick Alcock is her privately retained (or pro bono) counsel? (I don't think he's on the court-appointed counsel list.) If so, it looks like he wants to get out and have her represented by court-appointed counsel.
There was a status conference on Sept. 27 (you all probably knew that already), and the minute entry for the status conference indicates that counsel met in chambers with the judge off the record prior to the status conference. So something might have been said at that time that triggered the attempt to withdraw.