After reading the recommendations on this forum (thanks to everyone) I decided to modify the front axle on Jenna's Toylander to a swing axle type. I haven't got access to a welder, so I cheated in that I bought the parts needed from Richard, but at least I was able to reuse the existing stub axles, and a few other bits.
Here's the Toylander all back together, and we've given it a brief test in the garden:-

I certainly think it's a vast improvement over a fixed front axle. Whenever we used the Toylander on uneven ground, you'd hear creaks from the bodytub, due to the stresses applied to it as a wheel lifted off the ground. So far, all four wheels have remained in contact with the ground, no loss of traction, and no more creaks and groans!

I think I'll have to start looking at the steering next. The drop arm from the steering column to the steering tie bar seems to struggle with the more extreme angles it is now subjected to by the swing axle. I've seen that a few people have changed drop arms to threaded bar with either ball joints, or rose joints on the end. What are peoples experience of them, which type is better, ball or rose joint, and what sort of sizes are needed to be robust enough?