Sleeter says when officials started to investigate the case, the Neumanns were initially cooperative, but said the couple, who have three other teenaged children, are "of the opinion that they've talked to us and there's nothing else they want to say."
Social service officials interviewed the Neumanns' other three children, 16- and 13-year-old boys and a 15-year-old girl, on Wednesday, Sleeter said, and appointments with doctors were scheduled for the teens today. For now, Sleeter said, the Neumanns will not lose custody of their children during the death investigation.
"It's our understanding that when the kids are done being examined, in all likelihood they will be able to go with their parents," Sleeter said.
Messages left by ABC News at the Neumanns' Weston, Wisc., home and at a coffee shop co-owned by Leilani Neumann were not returned. In an interview with The Associated Press, the girl's parents confirmed that they believe healing comes from God, but said they did not want their child to die, they are not zealots and they do not have anything against doctors.
Dale Neumann, a former police officer, told the AP that he started to perform CPR on his daughter "as soon as the breath of life left."
But authorities believe the girl, who was enrolled in a local public school until last spring and this fall has been homeschooled, was likely ill for several days, perhaps longer, before her death Sunday.
In the interview, Leilani Neumann said that she is not worried about the police investigation because her family's lives are "in God's hands" and they know that they did the best thing for their daughter that they knew how to do.
Sleeter, the Everest Metro police spokesman, said that the family is not involved in particular organized religion and that the family's prayer group consisted only of about eight people.
A recent poem and writing by Leilani Neumann, however, are posted at AmericasLastDays.com, the Web site of Unleavened Bread Ministries, which features the message, "These are America's Last Days." The site describes the faith as nondenominational and founded by ministry leader David Eells, who spreads his message, teachings and interpretations of the Bible online and in books.
In one chapter of his book "Sovereign God for Us and Through Us," Eells writes about the need to rely on God to face corporal sickness. "We cannot get anyone out from under a curse except through the Gospel," Eells wrote. "Sometimes God is merciful, but we cannot guarantee God's deliverance to those who do not walk under the blood."
The Unleavened Bread Minstries is not the only church to attract the attention of law enforcement in connection with members refusing medical help.
The Christian Science church is one of the largest and perhaps best-known churches to favor divine spiritual healing over medicine. The church generally considers sickness as the result of fear or sin and looks down upon drugs and surgery. Still, the Christian Science church does not literally forbid church members from seeking medical attention.
Under the Jehovah's Witnesses interpretation of the Bible, church members are prohibited from taking blood from anyone, a doctrine that can cause them to refuse blood transfusions.