The word that provides an appropriate connotation of the word home as it is used in this sentence is Comfort
Explanation:
The definition of home is the place where you live but not only referring to the structure or the construction neither the location that would be the definition of a house, home is a comfortable, nurturing and warm place where you are part of a family or a group that lives and interacts every day of their lives.
Stage directions give indication to the characters actions and expressions. It states who is coming and going (and from where) and what they will be doing.