Final answer:
Grandma Rose's personality is not directly described in the provided excerpts, and additional context from the memoir "A Home Away from Home" would be needed to identify a supporting statement from the text.
Step-by-step explanation:
In the memoir "A Home Away from Home," Grandma Rose's personality is not directly described within the provided text excerpts. However, based on the reflections involving grandmothers and the themes of home and relationships seen in the included texts, one might infer that Grandma Rose could be a figure who embodies traditional values and the warmth of familial bonds. Since the specific statement that best supports Grandma Rose's personality from the text is not provided in the question, further context would be required to accurately determine this statement from the text.