Hi scudrunner. Welcome to the board. If I take a soda straw, put it in a glass of water, put my finger on the top, and lift it out, the water stays inside the straw until I let my finger off, at which time it all drops straight out. The reason the water is able to stay up inside the staw is twofold. First, there's a vacuum created above the water in the straw. The pressure at the bottom of the straw then is sufficient to support the water. But the air can only support the water if the surface tension at the lower, exposed end, is strong enough to keep that surface together. If you had no surface tension, bubbles of air would flow up the straw while water would fall out. Imagine the water being like sand. Air can easily get through the sand so a vacuum can't form above the sand. Same thing would happen if there was no surface tension.
Of course, as soon as you take your finger off the straw, the vacuum disappears and the water can drop out. Surface tension alone isn't able to support much water, only about a drop of water can be supported by the meager strength of the surface tension. So if your opening is much larger than a drop of water, it isn't strong enough to hold any water inside your straw or bottle. That's what happens to a 5 gallon water bottle. The air simply bubbles up into the bottle and the water falls down. Surface tension isn't strong enough to keep the exposed surface together.
The way it works 'in the kitchen' with your water bottle stand is that the surface tension is replaced by a liquid trap. The surface tension isn't sufficient to prevent air from bubbling in because the mouth of the bottle is so large. So the idea is to provide a liquid trap instead to prevent air from getting in. That way, the water can stay inside the bottle.
A liquid trap is simply a level of water above the opening of the water bottle. If the water is held inside a bowl for example, and the opening of the bottle is below the level of the water, air can't get in, and a vacuum forms inside the bottle to prevent it from escaping.
You can do the same thing in your chicken coup by having a bowl that the bottle opening sits in. You can make this bowl a long trough if you'd like, so long as the water in the trough can fill up to the opening in the water bottle.