Randomly Generate a Tree Structure Consisting of Objects with their Parents

I'm trying to randomly generate a tree structure of objects that look something like the following:

Branch parent = new Branch("Start");
Branch branch1 = new Branch(parent, "Branch 1");
Branch branch2 = new Branch(parent, "Branch 2");
Branch branch21 = new Branch(branch2, "Branch 2.1");
Branch branch22 = new Branch(branch2, "Branch 2.2");

I know how to create objects manually, and how to generate random numbers, and I've seen some stuff on randomly generating nodes for creating fractals, but I'm pretty lost all the sudden, as I've never had to programmatically generate objects before.

Any ideas as to where to start, or what technique to use would be appreciated.