There is a short story called The Ship Who Mourned, which was incorporated into The Ship Who Sang. Here's a complete listing of the books and short stories in the Brainship series. Numbered stories indicate sub-series.
1. The Ship Who Sang (contains following short stories)
"The Ship Who Sang"
"She Ship Who Mourned"
"The Ship Who Killed"
"Dramatic Mission"
"The Ship Who Disappeared"
2. "Honeymoon"
3. "The Ship Who Returned"
Partnership (w/ Margaret Ball)
The Ship Who Searched (w/ Mercedes Lackey)
1. The City Who Fought (w/ SM Stirling)
2. *The Ship Avenged (SMS only)
1. The Ship Who Won (w/ Jody Lynn Nye)
2. *The Ship Errant (JLN only)