More names are cropping up on White House lists of possible candidates to be secretary of the Health and Human Services Department, according to sources.

They include Anne L. Armstrong, former cochairman of the Republican National Committee and former ambassador to Britain; Ann Dore McLaughlin, undersecretary of interior; Tirso del Junco, a Cuban-born doctor who is a longtime Reagan supporter and California Republican official; Karl Bays, chairman of Baxter-American, a medical supply conglomerate, and former member of the HHS Medicare advisory committee; Rita Ricardo Campbell, a senior scholar at the Hoover Institution who headed a task force on Social Security during Reagan's presidential transition in 1980, and former Indiana governor Otis R. Bowen (R), a physician at the University of Indiana medical school and former chairman of HHS's Medicare advisory panel.

Names previously reported include former HHS undersecretaries David B. Swoap and John A. Svahn and James K. Cavanaugh, a White House health specialist under Presidents Richard M. Nixon and Gerald R. Ford. The name of Pennsylvania Gov. Richard L. Thornburgh (R) has been mentioned, but his press secretary has said he is not a candidate for the job.

In addition, Carlton E. Turner, deputy assistant to the president for drug abuse, has been mentioned as a possible choice to head the Food and Drug Administration if Commissioner Frank Young is nominated to be assistant secretary of HHS for health.