A lot of communities have committees that seek to help with local homelessness. If you don't have that or can't find it, check with the mayor's office or any city commissioner. In some communities the Salvation Army or Rescue Mission serve homeless with temporary shelter. Many churches serve the homeless with meals or shelter and are frequently part of a group of churches sharing the effort in an organized fashion. It should not be hard to find where the shelters are and what the needs are.
My mother lives in a rural community without a shelter. She and her church quilting group donate quilts to the county welfare office and the sheriff's office. Those public workers come in contact with people who are in need of warmth. Those offices are also aware of the location of women's shelters in the region.