Houck agreed to let his sister, Rhonda McIlvoy, have full custody of Eli, who is now 12, according to court documents filed on Monday.
Nelson Circuit Court Judge Charles Simms III followed the recommendation of a jury, which, in May, found Lawson guilty of conspiracy to commit murder and tampering with physical evidence.
The filing comes about two months after attorneys for Lawson asked a judge to either grant him a new trial or throw out the May 30 guilty verdict, arguing he was denied a fair trial.
On Friday, Judge Charles Simms III, who presided over the 10-day trial in which Houck was convicted in the 2015 murder or Rogers, ordered Houck not to transfer any property until at least after an evidentiary hearing scheduled for Oct. 8.
A final sentencing hearing will be held Aug. 21 in Nelson County.
Prosecutor Shane Young asked jurors to sentence Houck to life in prison. Houck would still be eligible for parole in 20 years.
A jury of 15 people, including three alternatives, were seated Tuesday, and opening statements will begin Wednesday morning for defendants Brooks Houck and Joseph Lawson.
In an order Tuesday, Nelson Circuit Court Judge Charles Simms III wrote that "unfortunately," in the high-profile murder trial of Crystal Rogers, he must "impose limitations" on the media and public.
Nelson County Judge Charles Simms III moved the trial from February to late May to give defense attorneys more time to review evidence in the case.
Nelson County Judge Charles Simms III ruled Tuesday that Houck and Joseph Lawson will be tried on June 24, 2025, in Bowling Green. Co-defendant Steve Lawson, who will be tried separately, will stand trial on Feb. 11.