Well, as a matter of fact, she did. I looked into this, and the results are below.
Which one do you think was mentioned the most?
She did. though, mention herself, her brother and her sister-in-law by name: "Emily" appears in three poems, "Austin" in one, "Susan" in four poems, and "Sue" in four too.** She never mentioned her sister by name (by "Lavinia" or by "Vinnie").
Below: The number of time family members were mentioned by name in Dickinson's poems:
** The word "sue" appears in seven poems; however, in three of them, the term is used as a legal action; the other four are the name "Sue."
For more statistics on the poetry of Emily Dickinson, click HERE.