According to Wikipedia, it took the Mayflower pilgrims three weeks to build their first common house, 6×6 meters in size. They were severely hampered by disease. They assigned single men to families to reduce the number of houses that needed to be built. They completed their initial settlement another month later, with 30+ people dead (about 25%).
In the case of the lost colony, there is no major disease (our settlers have it hard enough), but a severe shortage of food and other supplies, and unrest among the refugees. The group is also much larger, so ideal logs for building have to be brought in from further afield, or less ideal trees used. The refugee fleet was not as well prepared as the original fleet, but there are some woodworking tools on any (wooden!) sailing ship.
How many houses does the settlement need? Assume six to eight people per house, or 250-330 buildings. Some of these will be common houses, storage barns, and the like. The available land will be split into long, stretches; the house is at the front of the grant, at the roadside; the rear will presumably used for agriculture. Common houses will be clustered in the center of the colony, near the waterside. There are native tribes in the New Lands, but none survive nearby; with food and shelter an urgent matter and the settlement being fairly large, the town will not build any defensive structures.
As a side note, I realize that 2000 people is a lot. That’s basically the entire population of the Thirteen Colonies in 1625. However, with contact with the old world completely lost, 2000 people is a very, very small population – perhaps too small to survive in the long run. I also decided that I’d like to have the main colony have some semblance to a real town.
The colonists had a while to set up before the refugees arrived. The less time before winter arrives, the fewer houses will be built; this means more overcrowding and might also mean that the buildings that are built are closer together. It also leaves less time for foraging and creates a greater strain in the colony.
The colonists explored the coast for a short while, maybe a few weeks, until they found a suitable spot (they also tried to find the site of the original outpost, since some maps of that area existed and a few native settlements there were known to be friendly). Features: Defensible hill, old growth forest, a protected natural harbor, and a river. (The river for easier transportation and travel inland, and for building watermills.)
The settlement is governed by the leader of the original colony fleet, let’s use the term “Governor”. He is authorized – by the King personally – to run the colony in the King’s name. He is supported by a handful of officers and administrators, and ten men-at-arms. Another few dozen “trusted” men make up the settlement’s militia, though of course in any larger attack everybody who can hold a weapon (or a club) is expected to help in the defense. It is noteworthy that no members of the refugee group serves as guards or militiamen.
The original fleet carried some crops and some livestock – especially the later is among the most valuable property of the colony. A few cows, chicken, sheep, pigs. None of these will be used for food, as they are needed for breeding.
Both fleets also brought cats (to keep rats and mice in check) and dogs (as guard dogs). I am considering to omit horses and donkeys,; locating an animal suitable for riding or as a beast of burden could be a priority for the colony.
Tools are “colonial” property and issued as needed. Anything anybody owned privately that was deemed useful for the colony was confiscated, with promises of payment “if and when” the colony survived.
Ships: The colonists probably stripped a few ships for supplies. Some ships might be suitable for fishing. Two – with minimum crew – were sent back to the old world, they have not yet returned. Some others are used to explore the coast.
There’s no official currency. Some people barter for what little surplus there is, or use old world gold and silver coins. Most other metals are way too useful for tool-making to be used for coins. Written IOU’s are used in some cases.
The settlement needs a name. I was thinking “KIng’s Cove”; there are a real life King’s Cove in Canda and a King Cove in Alaska. I think that’s okay. The colony was named before the arrival of the refugees, so it will have a “normal” colony name, and not anything connected to its status as a refugee camp.