The scene at a house fire in Fairfax County where 2-year-old Kyra Franchetti and 58-year-old Roy Eugene Rumsey were found dead in July. (Courtesy of Fairfax County Police)

Police have identified a toddler who investigators believe was killed by her father before he took his own life and set his home ablaze in Fairfax County in late July.

Authorities say 2-year-old Kyra Franchetti and 58-year-old Roy Eugene Rumsey died of gunshot wounds in an upstairs bedroom of the home.

Fairfax County firefighters found the bodies of Kyra and Rumsey as they battled a blaze at Rumsey’s house on July 27. ­Authorities concluded that the blaze had been set at two separate points, indicating arson.

Police have not disclosed a motive in the case or detailed what evidence led them to conclude the deaths were a murder-suicide.

“We continue to mourn the loss of a beautiful, innocent little girl who was the victim of a senseless act,” Kyra’s family said in a statement.

They had unsuccessfully asked police to withhold her name, saying it would cause the family additional grief to have it made public.

“Every morning [Kyra] was woken up by ‘Mommy’s Kisses,’ ” an online obituary says. “She spent her mornings taking classes, ranging from gymnastics and soccer to swimming and music. Kyra was a chatter box and easily made friends wherever she went.”

Rumsey’s family has not responded to phone calls, but neighbors described him as a defense contractor who interacted little with them and who had run-ins with the neighborhood association in the past. Kyra was visiting him when she died.

A neighbor said he noticed nothing amiss before the fire started after 10:30 a.m. on July 27.

The blaze quickly engulfed a large portion of the house, sweeping through a part near the garage and creating a large hole in the roof.

Firefighters battled the blaze for 40 minutes before bringing it under control.

A neighbor said Rumsey’s house had fallen into disrepair recently. Others said they saw Rumsey so infrequently that they sometimes wondered whether he still lived there.

Neighbors said they thought he lived alone.