Hi RomanticSoul
I checked data for the link you posted but not sure if it is yours or your mom. I can see the orange ship has been at port 7 for more than 10 hours, so it can be skipped or loaded if you have the tools to do this.
About the times changing while your mom is preparing the ship, it depends on how many ships she has sent in the last 7 days. It works similiar to quests. When 7 days have past for a ship then it drops off the list.
When you start preparing a container, a second help icon appears on the container to the right of the container time, indicated with the red arrow in the picture below. The second help icon only shows during the preparation of that container. You can click on it and see the explanation for the preparation time for that container.
In the pop up that appears it will tell you the container preparation time based on how many ships you have dispatched in the last 7 days and how many ships you have dispatched in that time.
If you click on "Sure, let me see them" it will show you your dispatch dates in the last 7 days.
Click the “OK, thanks” to close the box.
NOTE: Ships only stay on the dispatch list for exactly 7 days then they drop off the list.
If the preparation time changed whilst you were preparing containers, this is because the time is calculated according to how many ships you had previously dispatched in the last 7 days. For example if you had dispatched 6 ships in the last 7 days and were preparing your Brown ship, the prep time would be 5.1 minutes, but if while you were preparing them one of those ships dropped from the list for being over 7 days old you would then change to a prep time of 5 dispatched ships, 10.2 minutes.
If you need full information about ships, please visit the following link from our Game guide:
http://r1.slashkey.com/forum/showthread.php?t=626622