"I don't know if there's any right or wrong or better or worse about it," he said.
Physical contact with the baby is considered important at a "crucial bonding time" that happens with mothers and fathers after a typical birth, and the new devices could help.
"That could certainly make the actual humanity of that child, which was always present at every stage, more palpable to the parents," he said.
The U.K.-based manufacturer of the CuddleCot, Flexmort, says 92 percent of British hospitals have at least one device. The device costs about $2,700. It is designed to be cleaned and sterilized for reuse.
"Dealing with the death of a baby is clearly an incredibly difficult event for parents and bereaved parents should be given the option of spending time with their baby," the CuddleCot website said. "This is usually in the hospital maternity/labor ward or hospice but increasingly babies are also being allowed home."
This time helps the family bond with the baby and helps them deal with the loss, the manufacturer claimed.
The CuddleCot site cited a testimonial from Sutton Jones of South Carolina: "I can't even explain how helpful the cuddle cot was to us. We have memories with our daughter that we never would have had. We got to hold her, kiss her, change her, take pictures with her, spend the night with her, just love her as our child."
Zelonis said that after the loss of an expected child, parents can react in any number of ways. The loss of a child is grievous in itself, and grief over lost dreams and expectations for the child also follow. Feelings of guilt are also possible, with parents' thoughts focusing on "anything they may or may not have contributed to the death of the child."
"There can be anger at God for allowing it to happen," he said. "You might hear sometimes the phrase 'taking away their baby,' as you might hear from any loved ones who died regardless of age."
"I tell people who are grieving that God is big enough to handle it," the priest told CNA. "I think people get angry with God and then get ashamed or afraid for being angry with God."
Parents who miscarry should show "compassion towards themselves." The should also respond with "candor with God."
(Story continues below)
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"Regarding miscarriage, no life is lost in the sight of God, though a life might not have reached full maturity," Zelonis said. "No life is lost. God knows. In heaven, that child may for all we know come to possess full understanding and insight in the presence of God, with God completing any defects or any deficits in understanding and freedom."
"And if not, either way, this is a person loved into existence by God and by his or her parents."
Zelonis said Catholics should respond to the loss of a baby with compassion, understanding and "respect for the life that was and is present to God, even if it is no longer present to the world."
Medical professionals also have guidance in responding to stillbirth or miscarriage. The CuddleCot website links to a copy of the National Health Service Scotland and Children's Hospice Association Scotland January 2016 document "Collaborative guidance for staff to support families who wish to take their baby home after death."
The document aims to make parents aware of their choices following their baby's death and to "support their decision-making." It aims to "ensure that the baby and their family are treated
with dignity and respect."
Staff should advise parents that their baby's body will undergo changes after death, and should reassure them and instruct them on how to minimize these changes.