They asked former prime minister Ali Maher to accept reappointment to his previous position, and to form an all-civilian cabinet.
He declined to accept reappointment to a third term in 1987.
When the job went to the Philadelphian Williams, Parks did not go out of his way to help the new chief to succeed, and when Williams failed to win reappointment, in 1997, Parks finally got his chance.
Reacting to her reappointment, May said: "There is more to do and I'm keen to get on and do it".
Judge Pressler was at the center of a controversy in 1983, when a state senator, Gerald Cardinale, invoked the privilege known as senatorial courtesy to block her reappointment to the Superior Court.
As a result, Magruder was seen as meddling, and last month the board refused to confirm his reappointment to the committee.
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Justice Verniero, 44, said that he planned to depart next August, two years before he would be due to face reappointment proceedings.
Her only shot is to win reappointment and confirmation while lawmakers are in town.
Others object to the reappointment of Salam Fayyad, an independent, as prime minister.
