Apart from the shelling not working, there was another problem with my first attempt. Although I defined parameters to control the sizes of the legs I also defined the angle between them, but it didn't work.
In the new method I drew 3 construction lines, intersecting at the origin, that defined the centrelines of each leg. For one leg I created a sketch of the profile that, when revolved about it's construction line, would create one hollow leg. This profile was then copied to one of the other construction lines and then mirrored to the third. Each profile was then revolved to create 3 bodies which were then combined to create the basic Y-connector. The unwanted interior overlaps were then removed and the required fillets applied.
The resulting model looks OK to me, and all the parameters work.
The timeline in the attached f3d shows the actual steps.