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TV reality stars Jim Bob and Michelle Duggar plan to hold a memorial service for the child that would have been their 20th had Michelle not miscarried last week during her second trimester of pregnancy, the couple announced.

The Duggars, stars of the TLC hit reality show "19 Kids and Counting," also revealed they'd planned to name their baby daughter Jubilee Shalom Duggar, in keeping with the family tradition of beginning all the children's names with the letter  "J."

According to a report in People magazine, the family plans to hold a memorial service for Jubilee this Wednesday for friends and family members.  The family, the magazine reports, already held its own,  private service in its home Sunday night.

"We would like to thank everyone for their prayers, emails and outpouring of love," Jim Bob wrote in a letter given to People. "As our whole family is grieving, we also know that God promises to work all things for good in our lives. Our prayer is that Jubilee's passing will help us all realize that this life is short, and our relationship with Jesus is the most important thing."

The couple announced last week they had  learned of the miscarriage during a routine doctor's appointment.

"I feel like my heart broke, telling my children," Michelle Duggar, 45, told People at the time. "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."

Michelle Duggar was cared for by family members at home after the diagnosis, but was taken to a nearby hospital on Sunday after she reported feeling lightheaded.

A family spokesperson told People that she is expected to return to the family's Tontitown, Ark., home today.

That Michelle Duggar had even become pregnant for the 20th time grabbed headlines when the family announced the news in November.

She had suffered a previous miscarriage in her second pregnancy.  The couple's last, and 19 th, child, Josie, now 2 years old, was born 15 weeks early by Caesarian section because Michelle had preeclampsia, the No. 1 cause of maternal death around the world.