McDowell apologized after the Braves' 7-0 win Wednesday night at San Diego. The allegations stemmed from a game in San Francisco last weekend.
Major League Baseball spokesman Pat Courtney said the Braves are still gathering information and that the league will announce a decision once it has all the facts.
Attorney Gloria Allred told The Associated Press on Thursday night she was disappointed the Braves have not yet attempted to contact her or Justin Quinn, her client.
"If they're doing an investigation, one would think they would want to talk to my client," said Allred, who also has sent the Braves and commissioner Bud Selig information that another fan came to her with complaints of verbal abuse from McDowell.
Quinn, a 33-year-old fan from Fresno, Calif., said McDowell's comments were made Saturday during pregame batting practice at AT&T Park in San Francisco. Quinn said he attended the game with his wife and 9-year-old twin daughters when McDowell made homophobic comments towards three men in the stands.
Quinn also said McDowell made crude sexual gestures, and Quinn said he shouted to McDowell, "Hey there are kids out here." Quinn said the coach replied that kids don't belong at a ballpark, then picked up a bat, walked up to Quinn and asked him, "How much are your teeth worth?"
Allred said one reason for her "heightened concern" on Thursday is a complaint against McDowell from another fan.
"This may not be an isolated incident," Allred said in a telephone interview. "I have been contacted by another fan in another state who alleges another incident."
Allred said the second incident "involved what the fan believed to be angry and inappropriate words directed at him and his wife who had her young children with her. This fan has authorized me to supply his information to the commissioner."
Atlanta general manager Frank Wren declined comment; manager Fredi Gonzalez didn't respond to requests for a comment.