Why does the old woman insist Sam walk home with her?

The old woman insists that Sam walk home with her because she likely feels vulnerable and desires companionship for safety. Additionally, she may be seeking connection or support, as walking alone can be daunting for someone of her age. Her insistence could also stem from a desire to share a moment of kindness or to engage with someone in her community. Ultimately, it reflects her need for reassurance and human interaction.