I found out something when doing some research into Sarna.com on the article, "Shipyards"
As you can see, according to the "Historical Liberation of Terra" there was operational shipyards in Small World, which is not on mentioned in other sources, so we don't know the company, what they made, whether or not they survived the Succession Wars, and if not if they could be rebuilt like the Liberty/Carver IV ones but unlike the Keid ones we got. You can also see that there were shipyards in Procyon in the same source book and place that survived the Amaris Wars intact at least. In the First Succession War source book which talks about the shipyards at Keid being destroyed, nether Procyon nor Small World are mentioned.