There is a great graphical timeline plugin somewhere.

Arguably tiddlywiki can do anything so I urge you try and store the information 
you have then learn how to present the relationships latter.

To do this well you need to create a tiddler for each entity such as railway 
lines and businesses then seperatly relationships such as business owns 
railway. Since the ownership can change you not only need to cater for 
ownership but start and end dates of ownership. Of course the passage of time 
will change ownership or add segments to a line so the relationships need to be 
kept as a series of events. 

I will consider what is needed for this as its a critical algorithium for many 
applications.

Regards
Tony

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