Cal Ripken, Sr. six games into what would be the '88 Orioles' infamous 0-21 start.
Yogi Berra, sixteen games into the '85 season (6-10). Berra nearly got fired in ST that season when the Yanks didn't play to Steinbrenner's satisfaction.
I do recall that Leyva started '91 on the hot seat. Leyva would never manage again but he had a very long career on numerous ML coaching staffs after he and the Phillies parted ways. Leyva was a member of the Pirates' staff as recently as 2016, a full twenty-five years after his ML managerial career ended.