Detectives told Action News on Monday morning that the woman killed is 28-year-old Tamekia Kearney of the 200 block of S. Franklin Street.
No further details about the crime were released.
The shooting happened around 9:00pm Saturday night in a park at Sycamore and Broom streets in Wilmington.
Police say Kearney was pronounced dead at the scene.
The other victims, a man and a woman, were rushed to the hospital with serious injuries.
Anyone with information should contact Detective Patrick Conner at (302) 576-3630 or Delaware Crime Stoppers at 1-800-TIP-3333 or online at www.tipsubmit.com