WORCESTER — The married couple charged with selling narcotics and who allegedly housed their children in a feces-strewn home were arraigned Monday.

Both Sheyla Montalvo, 24, and Natasha Riley-Murphy, 29, were charged in Central District Court with trafficking a Class B substance, a drug violation with 100 feet of a park, and conspiracy to violate the Controlled Substance Act. Riley-Murphy has additionally been charged with possession of a Class B substance and possession with intent to distribute, second or subsequent offense.

Bail was set at $1,000 for Riley-Murphy and at $500 for Montalvo.

The two have been married for about a year, according to friends. The couple’s young children — Montalvo’s biological children — have been placed in custody of the state.

Police said Friday night that they found the couple’s children, ages 6 and 3, living in squalor inside their apartment on King Street. Another visiting 5-year-old, Montalvo’s nephew, has since returned to the custody of his mother,said Eisha Rodriguez, Montalvo’s sister.

Officers said the young children were surrounded by animal feces-covered floors; and there was a reported mouse infestation in the children’s bedroom and overhead in the drop ceiling, the Worcester police said in a statement. The children’s bedroom reportedly contained a large amount of mouse feces.

“At one point a cat came out from under the sink with a live mouse in its mouth,’’ police reported.

Police allegedly found a backpack that contained 99 Oxycodone pills and $3,382 cash, two bags of marijuana, and three cellphones, according to court documents. Officers allegedly discovered throughout the apartment packaging materials, two more cellphones, an additional $170 in cash, and one bag of cocaine.

More than a dozen family members and friends were in Central District Court early Monday to show support for the couple. Several said the women do not live in squalor; they said the home looked trashed and dirty only after police raided it.

Gretna Garcia, 22, Montalvo’s ex-girlfriend, said that when they lived together the woman always kept their home “immaculately’’ clean.

“If [Sheyla] had kept her house like that, I would have grabbed her hand and said, ‘C’mon, girl. Let’s go clean,’ ’’ added Felicia Victor, 25, another friend.

Rodriguez said the couple cares deeply for their children and she trusted them enough to leave her son with the couple from time to time. She declined to comment on the couple’s alleged involvement with drugs.

Montalvo’s mother Gladys Santana of Worcester, shed tears when asked about her daughter. She said they are worried about the couple’s children and how they are doing with the state Department of Children and Families. They are working to regain custody.