Ellington — Six weeks after a mother-of-two was found shot to death in her north-central Connecticut home two days before Christmas, relatives are frustrated and some town residents are worried as state police have yet to announce an arrest or any details of the investigation.

Connie Dabate, 39, was found dead and her husband, Richard, was found wounded when authorities responded to a burglary alarm at their Ellington home shortly after 10 a.m. on Dec. 23. State troopers also said there was smoke in the home. The couple's two sons, ages 9 and 6 were in school at the time, officials said.

The medical examiner's office later determined that Connie Dabate died from multiple gunshot wounds to her head and abdomen. Richard Dabate was treated for undisclosed injuries at a hospital and discharged.

"It's a shock to everybody," Ellington First Selectman Lori Spielman said Friday. "Everybody is always wondering what's going on, but they have to let the investigators finish investigating."

Trooper Kelly Grant, a state police spokeswoman, said there was no update to report and detectives are still investigating. State police previously said there was never any threat to the public or community during the incident, but declined to elaborate.

Relatives of Connie Dabate said they're frustrated that no one has been arrested yet, but the family is doing OK amid the uncertainty.

"Of course we all want to know, but we're getting by day by day," said Leslie Garabedian, Connie's sister. "It's all difficult."

Richard Dabate did not return phone and Facebook messages seeking comment.

Some town residents said they are worried that the killer won't be caught, and a lack of an arrest is fueling speculation.

"Somebody has to be held accountable," said Cathy Howat, who lives a few miles from the Dabates' home. "Somebody gets murdered like that and you want to have information."

Ellington, about 20 miles northeast of Hartford, is a quiet bedroom and farming community of about 16,000 people.

"It just seems strange that nothing's been done," said Carol Palmer, 80, who owns a horse farm less than a mile from the Dabates' home.

Connie Dabate, a pharmaceutical sales representative, grew up in Vernon and Ellington and graduated from the University of Connecticut in 1999, according to an obituary prepared by her family.

In a Facebook post last month, Richard Dabate said his wife touched the lives of many people.

"Many questions, unanswered, but we are all doing our best to move forward, as impossible as it seems," he wrote. "We try to stay strong, for the boys."