The refueling operation uses only 20% of the Tanker's fuel load, and all the other ships are now back at 100%. Fuel will not be a problem on this mission.
Since none of the civilian vessels except the Mayflowers have Jump drives, each Mayflower will escort two other civilian vessels through the Jump point.
(AFAIK, you cannot make an "assisted jump" unless the Jump drive is carried by the most massive ship in the squadron. For this reason, when I initially designed my ships back at the beginning of the game, I made sure that my Jump-drive-equipped Mayflowers were slightly more massive than any of my other non-Jump civilian designs in that class).
The Light Cruiser Belligerent will go through first, with two Missile Destroyers in escort. They will use Active Sensors to probe the area around the Jump point, and then... hopefully... signal the "All Clear" for the civilian vessels to follow them through.
The Belligerent and her two escorts jump through to Procyon, and immediately "ping" with their active sensors... and detect nothing. The surrounding space is empty. They signal the "All Clear" by subspace radio.
Now the civilian vessels can start coming through, while the other three Missile Destroyers bring up the rear of the formation. Commander Stonewall takes his formation through first.
A problem develops immediately. Our scientists had assured us that the Mayflower's Jump drive would be powerful enough to escort two other civilian ships through the Jump point. This is clearly not the case. After hurried consultation with the Task Force Commodore Arjyla, one civilian ship is split off of each of the Mayflower formations... they will escort the non-Jump ships through one ship at a time, while the Cruiser force stands guard over the Procyon end of the Jump point and the three Missile Destroyers guard the Sol end. The Mayflowers will shuttle back and forth until they have brought all of the civilian vessels through.
They try again... and with only one non-Jump companion, The ESNA Forum successfully jumps through to Procyon... the first non-Military ship to leave the Solar System. Everyone breathes a sigh of relief, and the other ships line up for their own turns. Following behind Stonewall's small formation, first GaiusC and then Stuckenschmidt pass through the Jump point without untoward incident. All of the ships must now recover from the confusion caused by Jump-shock... a process which takes half a minute or so. Now half of the non-Jump civilian ships have been safely escorted through, and the three Mayflowers drop off their charges under Commadore Arjyla's protection and jump back through to the Sol system to pick up the other three civilian ships.
After recovering from the shock of their second Jump, the three Mayflowers each formate with one of the remaining civilian ships, and escort them through the Jump point to Procyon. After the last civilian formation blinks out, the three Missile Destroyers jump through as well...
... and the Procyon Expedition now re-assembles, and heads inward toward Dravar XV, with their active sensors ping-ing.