Police haven't yet released the identities of the dead man and woman.
No one was injured in the shooting, police said.
A winter squall ripped the roof off a convenient store on Wednesday evening.
Investigators are interviewing witnesses and possible suspects, but had not made any arrests.
Phillip Antoine pleaded guilty to hitting and killing 19-year-old River Russell, a League City teen who died in 2019.
Newly ascended La Marque Mayor Keith Bell said the city's leadership is committed to reducing the level of gun violence in the city.
Two people were arrested and charged after the late-night shooting. It's the third fatal shooting in Galveston County since Saturday.
A death report written by the Galveston County Sheriff's Office asserts Ariel Ledesma was attempting to escape his cell before he was pushed.
A victim is in the hospital after he was shot waiting in front of a Wingstop.
A teenager died at the hospital Monday night after he showed up at the Galveston Police Department headquarters with a gunshot wound.
Trent Vahn Paschal had been hospitalized after Harris County deputies shot him several times.
A Bacliff resident was killed in a crash on state Highway 146 on Saturday.
A man was killed after his vehicle was shot at and then crashed along Interstate 45 near La Marque, according to the sheriff's office.
One vehicle rear-ended another, sending both into a ditch near the road.
Investigators believe the man snuck in through a window into an apartment.
The video, which Sheriff Henry Trochesset has said depicted Feast pointing a gun at Officer Jose Santos, still leaves questions unanswered.
Investigators aren't yet releasing more information about the person of interest.
Police have identified at least one person of interest.
Investigators still were working to determine how the blunt force that killed Ariel Ledesma, 47, had been delivered.
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