Have you tried 'Rent this House' on abbey street near the argos they have places to rent privately or see the local Telegraph for places in the local area ??
Failing that theres always the council or housing associations
By the way we have a community group for lone parents in Hyndburn area in association with Gingerbread North West which you may find helpful certainly if new to the area, you will be most welcome, click on the Hyndburn Gingerbread in my sig for details on our website or pm me for details if interested