The "Blue Butterfly" at Dilley: What's Real, What Isn't, and Why It Matters The South Texas Family Residential Center in Dilley, Texas, is not a place most people think about until something goes wrong. And lately, something has, though the full picture is considerably messier than social media wants it to be. Dilley is an ICE family detention facility. It has held mothers, their children, and more recently single adult women. The facility is operated by a private contractor,