The real-life story has drawn parallels to the 2009 horror movieOrphan.
Pompeo will executive produce through her production banner Calamity Jane with Laura Holstein.
The project was created and written by Katie Robbins (The Affair).
Liz GarbusMichael Kovac/Getty Images
Erin Levy will serve as showrunner on the series and executive produce alongside Robbins.
Other exec producers are Andrew Stearn, Niles Kirschner, Mike Epps and Dan Spilo.
She also directed and executive produced the Netflix documentaryHarry and Meghan.
