In Georgia — sixth in the nation in the number of women killed by men — family violence shelters such as Safe Haven in Statesboro have not been immune to funding cuts. But the Georgia Legislature restored some funding this year and last, using state money to partly offset federal cuts. Greg Loughlin, the executive director of the Georgia Commission on Family Violence, came to Safe Haven on Tuesday to present Sen. Jack Hill, R-Reidsville, the commission’s Legislative Leadership Award.