Police say the deputies were transporting inmates to the courthouse when they were "overcome" in the parking lot of the gated transport office. He also says he doesn't know if the woman had exited the shed or was shot while still inside.
Officials say Deputy Patrick Rohrer, 35, was killed in the shooting.
The Rev. Vernon Howard, president of the Southern Christian Leadership Conference of Greater Kansas City, bemoaned the "fatality on top of fatality".
Police in Kansas City are facing tough questions after shooting and killing three people in less than an hour.
Zeigler said both deputies were taken to KU Med Center for treatment.
A second deputy remained in critical condition at the University of Kansas Hospital.
Police say the shooting occurred as Rohrer and another deputy were transporting an inmate from the Wyandotte County jail to the court service building for a hearing.
The Kansas City Star reports that the shooting happened shortly before 5 p.m. Thursday in the middle of Barney Allis Plaza. He had worked for the department for seven years.
The shooting happened before 11:17 a.m. Friday near the corner of 8th Street and Ann Avenue.
Police said no other suspects were being sought.
Several law enforcement departments offered words of support and prayers for Wyandotte County on social media.
"There are witnesses we are speaking with", Zac Blair, a spokesman for the KCK police department, told the paper. The juvenile's condition is unknown.
Capt. Lionel Colón said the officers' actions met the criteria for the use of lethal force.
Kansas City Police Chief Rick Smith has defended the officers involved in both incidents, calling the shootings "unfortunate" but insisting the cops "did what they thought was necessary".
Working major incident in the 800 block of North 7th, details unclear at this time.