UCLA Health spokeswoman Curry said the university has not substantiated that there was a 2014 medical board investigation. UCLA received its first complaint against Heaps in December 2017, which prompted its investigation, Curry said.
The medical board's website showed no records of discipline against Heaps, and he has a current license to practice medicine.
The university regents' office did not immediately respond to an email on Wednesday seeking comment on the lawsuit.
The scandal comes in the wake of hundreds of accusations of sexual abuse by the nearby University of Southern California's longtime staff gynecologist, who has not been criminally charged.
Heaps' attorney said it's "irresponsible" to compare the two.
In the lawsuit, the woman said another UCLA gynecologist referred her to Heaps. Her first appointment, where her family was present, went smoothly.
At her second appointment, she alleges Heaps groped her and fondled her "without medical justification," even as a female nurse was present. Her family was not there.
"She really was fearful while the incident was occurring," McGrath said.
The unidentified nurse seemed to be uncomfortable with the alleged abuse but remained silent, according to the lawsuit.