How Beverly Kim and Johnny Clark Balance Expanding Their Restaurant and Family at the Same Time

May 19 was already shaping up to be a momentous day for Beverly Kim and Johnny Clark; it’s the due date of their third child. But then I ask when the couple behind Chicago’s beloved Korean-American eatery Parachute aims to open its long-awaited second restaurant.

“May 19,” Clark repeats, this time with a wan laugh. “I’m sort of joking, but it seems like two trains headed straight for...