In a statement on Saturday, they called the resignations “reassuring,” but called for the organization’s entire board to step down.

“We will continue to demand the resignations of every individual who either participated in the abuse of women or stood by and was complicit,” they said.

The statement added: “The women of Miss America are determined to take back our program. This is not over yet.”

The emails indicate that Mr. Haskell had privately shamed one former pageant winner, Mallory Hagan, over her weight and sex life and had engaged in a campaign to fight what he perceived as her attacks, according to HuffPost.

He had derided Ms. Hagan, who was named Miss America in 2013, as “a piece of trash” to one Miss America Organization employee, Brent Adams, who spoke to HuffPost. Mr. Adams said that he was romantically involved with Ms. Hagan at the time and that Mr. Haskell had instead wanted him to date Mr. Haskell’s daughter.

In a statement on Saturday, Mr. Randle said that in January 2015 — more than two months before he began work at the organization — “I inappropriately responded to an email sent to my personal email account about a former Miss America.”

Referring to HuffPost, he added: “The article implies alleged complicit participation on my part in a yearslong array of inappropriate email communication, which is grossly misleading. Furthermore, the most egregious emails were exchanged in 2013 and 2014 and predate my employment altogether.”