£0 remaining for a gas cooker

L is a single parent to four young children. The family has been homeless and living in emergency accommodation, due to domestic violence. They have now been rehoused into completely unfurnished accommodation, so are desperate for a gas cooker. They have been supported by Children's Services, and the church has helped with other household essentials, but mum has no savings to furnish her new home. L, who suffers with mental health issues, due to the domestic violence, is currently unable to work and is dependent on benefits.