Okay, I just checked the save. Some comments:
(1) Increase the production limits! You can never have too much stuff in reserve. Gradually increase it as your population grows. If you ever use farms you should have 1-2 years of food consumption as a reserve - otherwise a series of bad harvests with expanding population will result in a famine.
My suggestions for your current situation:
5000 food
500 wood/stone/iron
1000 firewood
200 tools/coats
(2) Build more houses and storage barns. Ideally each food producer should receive 1 storage barn (later 2) + 1 house directly next to him. Also designate decent sized stockpiles (5x5) next to any ressource producer that needs to store them (forester, woodcutter, quarry, mine).
My suggestions for your current situation:
Build a barn and 2 wooden houses next to the fisherman. Build a storage barn and 2 houses next to the southern gatherer. This should increase efficiency significantly, allow you to store more food and kickstart pop growth.
(3) Set your existing foresters to 1 max worker and "plant only" mode. This will vastly increase your food production from gatherers. If you need wood, you can just manually order some trees to be cut down. Later on I'd suggest you place another 1 forester + 1 woodcutter + 1 house in the small valley north east of your northern hunters lodge. This one can be set to 4/4 to produce enough wood for your firewood production.
(4) Due to the map size I'd strongly suggest to rely on trading to import stone and iron (and later on wood). Designate LARGE stockpiles around your trade post (I'd suggest at least 100 tiles, 200 is certainly better). Expand south and place another 4/4 forester + woodcutter on the west bank of the river. Use firewood to buy stone and iron. Once you have seeds (I'd suggest wheat as your first pick) start expanding to the big valleys in the North East and South East and establish small farming communities. Use breweries to turn your wheat into ale and use this as your main trade good.
(5) As for your current food situation:
Try to reach the big island in the lake and put down several 1 fishermen + storage barn + wooden house combination to supply your population with food as it grows.
(6) Build one herbalist in either of he forester areas to make sure you get herbs for your population. If you can manage to get a surplus with him use them for export. Don't forget to get a hospital later on (I'd actually build it before the town hall) - diseases can kill a LOT of people.
(7) Other stuff:
Don't use stone roads that early in the game. Dirt is perfectly fine. That stone is better used somewhere else.
Due to your lack of children. I'd suggst to get 6-8 houses early on (once you have the basic stuff up) to allow at least some reproduction. Your population will decline quickly in the next few years. Get houses ASAP. You even might want to suspend schooling to get them as workers.
Always build one or more extra buildings for the following professions once your initial village is stable: woodcutter, blacksmith, tailor, school, herbalist. This will allow you to react to the increasing demand during pop growth. Backups are also handy should you effer suffer a crisis (fire, tornade, etc.).
Your trading post was build a bit too early. You do not yet have any decent trading good production chains up. The stone would have been more useful for other stuff (e.g. bridges).
If you have build the townhall to get nomads: Don't. It is very costly and while the statistics are useful later on, at this stage you are still able to guess consumption. Also nomads are (iirc) uneducated, so they are way less efficient than your own population. The only time you should accept them if you lost many people to a disaster or have a pop crisis (which is the case here, but could have been prevented by building 4 more houses).
The northern gatherer is placed in a pretty bad spot. Half of the area of operation is blocked by mountains + rivers, so the output will be pretty low.
Placing your fishermen huts in the right spot is very important. Each square of water you can get into his area of operation will increase output significantly. The fishermen north of the trading post would probably have been 30% more efficient if you had placed it 5 squares to the south. In general you should try to get at least 50% water in the AOO. They also benefi the most from directly adjected storage barns and houses.
I'll upload some "modified" (played) version of your save to demonstrate the expansion stuff + a few of my towns to show you how I build/organize things.
Give me an hour or two for that.
EDIT: Okay, played for more two decades. You will need to micro the houses to overcome your population shortage OR finish the town hall to get nomads. Otherwise your pop will stall for the next decade or so (and in that case it would actually be easier to just start over from scratch).
Here are some saves with expansion recommendation and other cities from me that might give you some hints how to organize stuff:
https://www.mediafire.com/?8cos169rjrrsj93