Any suggestions on how I can get good results with rendering hair with Firefly? The P4 rendered hair looks much better than the Firefly render. What settings would I need to use with Firefly to rectify this problem?

post screen shot of current firefly settings.

I have found if you enable Texture Filtering, you will get better results.
You will see a lot of people advising you to turn off Texture Filtering,
but they do that to render faster and use less memory.  But if you
want good looking hair, sometimes you do need Texture Filtering
to be enabled.  Try it and see if it helps.  If  it doesn't help you
can always turn it off again.

The Firefly settings were default for this example.
I'll give it a go with Texture Filtering when I get back from lunch at the race course ( if I'm not too pissed)
Thanks for the advice.

Another approach is to lower your shading-rate values, both in your render settings and on the hair itself.  It's a trade-off, though, as this will slow down rendering on the hair and increase your resource usage.

Poser 7 has a different (and possibly better) method of handing texture filtering, by the way.

Texture filtering will help because firefly will then use a downsized resampled texture version that's more fitting for the small size of the hair compared to the size of the texture. But for Poser 5/6 texture filtering means 3 times as much memory usage for each texture. So if you're running out of memory when using Poser 5/6's firefly, try downsizing the hair textures with an image editing software.

Thanks, Texture Filtering made quite a bit of difference.  Shading rates had less affect. Render times were all fast but the scene was not complex. Haven't yet physically reduces the map size in PhotoShop. Sorry for the slow reply, but returned from lunch yesterday somewhat under-the-weather. Drinking 7 schooners of beer in 105 degree heat was not a good idea.