A grandmother accused of shooting at her son-in-law and daughter allegedly told police she couldn't believe she missed and needed to visit an optometrist to have her "eyes fixed" so she could finish the job.

Gold Coast woman Miriam Annette Eason, 51, faced Southport Magistrates Court on Wednesday on a number of charges including three acts intending to cause grievous bodily harm and discharge a weapon in a public place.

Eason, who was granted bail, is accused of firing several shots at her son-in-law and daughter during a domestic disturbance in Nerang on Tuesday.

It's claimed allegations of abuse were behind the disturbance, the court heard.

No-one was injured in the incident but the court heard two shots narrowly missed the son-in-law.

A short time after the incident, Eason was detained by police in the nearby suburb of Mudgeeraba.

Shortly after her arrest, Eason told police she wanted to see an optometrist to get her "eyes fixed" before returning to the home to do the job properly, the court heard.

Senior Constable Donna Minns told the court Eason told the officers she'd been annoyed her shots had missed.

"She said she can't believe she missed her shots," Const Minns said.

"She said she'll get her eyes fixed ... find the gun and go back to do the job properly."

In opposing bail, Const Minns told the court Eason had only given a vague indication of where she had disposed of the firearm and police were concerned she would retrieve it upon release.

Police later found a gun, believed to be the weapon used in the shooting, under a bridge over the Nerang River on Wednesday afternoon.

Despite "grave concerns" over the possibility of Eason attempting to return to the home, Magistrate Joan White granted the grandmother bail.

Eason must reside at her daughter's home in Brisbane under her conditions of bail and can only travel to the Gold Coast for court matters.

She must also undergo a mental health assessment.

The matter has been adjourned until April 19.