Final answer:
The provided texts do not mention an imaginary friend named Anne. Anne appears as a caring figure, not an imaginary friend, within the excerpts given.
Step-by-step explanation:
Considering the texts provided, there is no explicit mention of an imaginary friend named Anne in any of the excerpts. Instead, these snippets from various literary works refer to characters who serve as caregivers or nurturing figures in the life of another character, such as a maid named Anne in Henrik Ibsen's play 'A Doll's House' who appears to be a caring figure for Nora when she was younger. However, we do not have enough context to definitively answer who Anne's imaginary friend was during her time with Mrs. Thomas from the given selections.