In the Star Trek: TNG two-parter Best of Both Worlds, Starfleet assembles a fleet of 40 ships to engage the Borg at Wolf 359. In Deep Space Nine's first episode, Emissary, we learn that civilians were still on board the ships facing the Borg. (At the very least, Jake and Jennifer Sisko were still on board, but likely more since in the opening sequence Sisko gives the order, "Let's get the civilians to the escape pods Lieutenant.")
I realize the fleet was assembled in a hurry, but in Part 2 of Best of Both Worlds we see the Enterprise crew communicate with Admiral Hanson who is leading the fleet. In this communication he appears busy, but seems to suggest that the Enterprise has bought them some time. Why during this time were the civilians not evacuated from the ships going to face the Borg?
Even if there was no suitable planet to evacuate them to, or insufficient time to do so, why not launch the civilians in escape pods before the ships get mostly destroyed by the Borg. It seems unlikely, given the Federation's experience with the Borg, that they were under the illusion that they would not suffer heavy losses. Supposing some ships did survive the encounter, they would be able to retrieve the civilian escape pods in the aftermath.
Related: A question regarding why civilians were on Federation star ships more generally.