"I feel like my heart broke telling my children," the reality TV mom of 19 tells PEOPLE

A day of joyful anticipation has turned to anguish for Jim Bob and Michelle Duggar.

At a routine check-up Thursday to find out the sex of their 20th child, their doctor was unable to find a heartbeat and told the couple they had miscarried in the second trimester.

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“After the appointment, we came back home and told the children,” says Michelle, 45.

“We had just been talking about baby names last night and they were getting excited about naming a boy or a girl. It has been a real sad disappointment.”

She says the family will select a name after they know if the baby was a boy or girl, and then plan to have a funeral service.

“I feel like my heart broke telling my children,” says Michelle. “They have all been so excited about this baby and looking forward to April coming around and having a new little one in our arms. That was the most difficult. The Lord is the giver of life and he can choose when that life is ready to go on and be with Him.”

The stars of TLC‘s 19 Kids and Counting previously weathered a medical ordeal with their youngest daughter, Josie, who was born in December 2009.