Detectives said they believed the suspect entered Thrasher's apartment through a ground floor window that was unlocked.
Thrasher's body was found Sunday in an apartment in the 2600 block of Clipper Drive by police, who had gone there to conduct a well-being check at the request of the woman's friends, police said.
According to the U.S. Marshals Service, he was neighbors with Tiffany Thrasher, 33, and broke into her apartment in Schaumburg, Illinois, over the Easter weekend.
Police Sergeant Christy Lindhurst told reporters that Mejia-Maya lived in a nearby building, but she does not know if he had ever had any contact with the victim.
Schaumburg police said Wednesday night a suspect was in custody in connection with the death of Tiffany Thrasher, and more information would be released at a press conference at 10 a.m. Thursday. "The detectives are still working with the Cook County States Attorney Office on this case", police said in an advisory sent Wednesday evening.
Mejia-Maya fled to Florida after the murder.
Mejia-Maya was charged with first-degree murder, aggravated criminal sexual assault and home invasion.
Police say as of now they unaware of the motive or if there is any relationship between the two individuals and are considering the incident to be random.
There will be an extradition hearing for him in Jacksonville later today.
"We know her soul has found eternal peace but she deserves to be honored in this transition", she wrote on the site. She found her one true love in Jesus, she loved her church, her family, her canine children and her Chicago Cubs. A GoFundMe account has been set up to help Thrasher's family with funeral expenses.