The folk who moved around were provided with a tied cottage on a yearly basis, usually from autumn, when some might go to hiring fairs to find a new master and move a greater distance. If they had their own cottage they would be more inclined to stay in one parish.
I would look at your cottager's position in the village landscape: on the main street, edge of the village or somewhere else. Some cottage properties have irregular shaped boundaries which were literally encroachments on commons that were permitted in earlier times. They are less likely in the "Midlands Trangle", Lincolnshire is marginal to this. There were some good parish studies of enclosure in Lincolnshire published perhaps 40 years ago which may show examples. Ask your local studies library.