Jinkerson faces the same charges as his mom, but she said Friday that he had no role in the shooting.
She said he did help clean up the crime scene and helped dump the body.
"I fired both shots that killed my husband," she told Circuit Judge Wendy Wexler Horn.
She said she cleaned the walls of their bedroom and disposed of bloody bedding to try to hide the crime.
Asked how the plea would affect Jinkerson's trial, his lawyer, Eric Barnhart, responded, "I mean the true killer ..." before having his sentence finished by Jinkerson's father: "admitted her guilt today".
Ancona originally told police that her son shot her husband with a 9 mm handgun and agreed to testify against him last year.
She reversed herself in a letter from jail, writing to Horn that she was "under the influence" and couldn't recall what happened when her husband was shot.
During Friday's court hearing, Frank Ancona's father, Frank Ancona Sr, told the judge that he had to identify his only son's body.
Ancona Sr said his son was killed because he was planning on leaving Malissa Ancona, whom he called a "terrible wife".
Ancona's daughter, Carolyn Ancona, through tears, said, "He didn't deserve this. No one deserves this."