Make church parents aware of this family. They could sit with them at parent meetings or make a point to greet them and chat a moment as they are taking or picking up their children each day. Help parents who do attend meet other adults. Take Advantage of Church-Sponsored Family Events Networking is a trendy term these days. It means taking advantage of your events and relationships to work effectively.
Some churches have events where children can come and make gifts for family members.
Offer to pick up the child and take her to and from church. Invite the family and offer to meet at a particular place in the building. Better yet, bring them with you. Some parents are more willing to attend low-stress events at church. Consider planning a springtime picnic at a park near the church.