The assault happened north of Baghdad on Sunday evening when Shiite militia forces were conducting overnight raids.
Only the woman condemned to death, speaking through an interpreter, acknowledged she willingly travelled to Iraq with her husband and their children.
At least 10 other fighters from the Popular Mobilisation Forces (PMF) are missing, a local militia commander said.
Officials say troops were killed at the scene, including some who were beheaded.
Last month, the same Iraqi court issued a death penalty by hanging for a German citizen of Moroccan origin in accordance with Anti-Terrorism Law.
The ambushed Hashd Shaabi force has carried out eight search operations in the area during the past few day and has detained large number of suspected terrorists from IS sleeper cells, it said.
The women, aged between 20 and 50, were arrested after their husbands were killed by Iraqi forces in Mosul or Tal Afar a year ago, according to AFP. "She is also convicted of complicity in attacking Iraqi security forces", Biraqdar said.
The group, which has suffered a string of battlefield defeats in Syria and Iraq, claimed responsibility for the attack in an online statement.
At her hearing, she told the judge that ISIS had confiscated her French passport, which she had used to enter Syria.
"My husband forced me to come to Iraq by threatening to take away my two-year-old son if I didn't follow him".
Abadi declared victory in December over the militants.