Even though many people think Pete Lemay was the HW before the 1988 Writers Strike, that is not correct. He may have unofficially contributed a story Bible which was used during the writers strike, but he did not officially take over as HW until after the strike.
Lemay quit after two months, reportedly irritated by constant network interference with his story plans. He's said in interviews that in 1988, he wasn't as desperate for money as he had been in the 1970s and consequently was less willing to deal with network interference (plus there was much more network interference in the 1980s since AW's ratings were so much lower in the 1980s than in the 1970s). So Lemay decided the headaches weren't worth it and quit.
However, he did leave a detailed three-year story Bible which Donna Swajeski used extensively during her tenure as HW.
Swajeski was the uncredited HW during the Writer's Strike in 1988. Swajeski had been an NBC exec at the time of the strike and took over the writing duties. She did an excellent job during the 5 months of the strike (AW came out of the strike in much, much better shape than most of the other soaps). Reportedly, Swajeski wanted to continue as HW after the strike, but Lemay didn't want a co-headwriter. So, when Lemay started rebelling against network interference, the network was willing to let him go since Swajeski had a excellent track record.
The link below gives a complete list of every HW on AW.
But to quickly summarize the sequence of HWs in the late 1980s/early 1990s:
Margaret DePriest, March 1986 - January 1988
Sheri Anderson, February 1988 - April 1988
Writers Strike, April 1988 - September 1988 (Donna Swajeski was the scab HW)
Harding Lemay, September 12, 1988 - November 10, 1988
Donna Swajeski, November 1988 - November 1992
Peggy Sloane, November 1992 - November 1994