I know it was quite a while since you requested information regarding Annie R. Brook and her family, but my husband is related to this family. His mother Beatrice Farrar (nee Remmer) was cousin (I think this was the relationship) to Bernice Brook who became Bernice Bateman living in Salt Lake City. I met Bernice many years ago when she was visiting Halifax. She had three children, two of whom died tragically in unrelated accidents. I have corresponded with her for some years, she is now 94.