Senior judicial magistrate Md. Tarek Aziz passed the order when they were produced before the court after their arrest.
Shahenur died of her burns at Dhaka Medical College Hospital on Monday morning.
The four sent to jail are Hafiz Uddin, a Union Parishad member of the area, Abu Taher, a member of village police, and Alauddin and Abdur Rahman, two brothers of the main accused Salauddin, who Shahenur claimed to be her husband.
Earlier, police arrested the quartet as the victim’s father filed a murder case with Kamalganj police station on Monday night accusing 13 people including Salauddin.
Police produced them before the court on Tuesday and sought a five-day remand for them. The senior judicial magistrate ordered them to jail and set the next day for the next hearing rejecting their bail petition.
Meanwhile, the main accused Salauddin is still at large.