As part of her job, Laurel Case has spent the past 31⁄2 years helping low-income families enroll their children in Healthy Kids, a state-run health insurance program. Until this week, after she got the youngsters signed up, she braced for another set of questions: “What can we do for the rest of the family?" “What about my 20-something child who doesn't have coverage?" “What about my husband, who needs to see a doctor, too?" It was a constant source of frustration for Case — not to mention for the families.