Radio station WOWO Ft. Wayne reports John D. Miller 59, has been charged with murder, confinement and child molesting.
He was picked up in Grabill, Sunday. Police have scheduled a press conference for Tuesday.
Tinsley, 8, went missing April 1, 1988, which was both April Fools and Good Friday. Her mom Janet, walked her up the block and waved her goodbye. When April was on the way to another friend's house, she was abducted.
Tinsley called police.
"They said she was a runaway, and I said, an eight-year-old? A runaway?"
A team of Ft. Wayne police officers and family members put out fliers and drove the city looking for April.
On April 4, her body was found by a jogger in a ditch in DeKalb County, near Spencerville. She'd been molested and suffocated.
Her story was part of a WIBC special called "Indiana Cold Cases", which has aired several times this summer.