I'm not at home right now, but saw your request & did a quick search of an online library catalog for puppet plays that specifically mention being for one person. I also followed it up with a look in Amazon since it often gave more information. (There's always more than 1 way to separate a feline from its epidermal layer!)
Since you're in Australia, I'm sure the online resources will be especially helpful. If you go to my website at http://www.lois-sez.com/SpecializedResources.html & go to the resources listed under Participatory, several sites may help you even though they're more for storytelling rather than puppetry. The section called Puppets is right under that. I was surprised to see none specifically had on their sites what you need. They are worth your visiting, however, & I strongly recommend the Ning network, http://PuppetHub.com. If you put this question on my group there, "Out Front with My Puppet", I'm sure you would get some great suggestions.
For books that came up:
I know I own & would recommend One-Person Puppet Plays by Denise Anton Wright
* also Storytelling Made Easy with Puppets by Jan M. VanSchuyver.
* There are puppet scripts & great ideas in Caroline Feller Bauer's Leading Kids to Books Through Puppets. While I don't recall if they are suited to early childhood groups, her ideas are great & it is worth owning.
* I have Dee Anderson's Amazingly Easy Puppet Plays: 42 New Scripts for One-Person Puppetry, but don't recall if it works for the "littlies" as an Aussie friend, Mabel Kaplan, likes to put it. The summary says "Enough puppet programs for every week in the school year." That may mean it is meant for older children. It's hard to tell without the book in hand.
* Another good resource is Connie Champlin's Storytelling with Puppets & there are 2 editions. Get the 2d, more recent 1997 version. I don't recall it having scripts, but you'll definitely get other suggestions from it.
*Two books I don't own, but look promising are How to Do "the Three Bears" With Two Hands: Performing With Puppets by Walter Minkel and A Show of Hands: Using Puppets with Young Children by Ingrid Crepeau & M. Ann Richards. If you read their descriptions, it should help you decide if they're for you.
I don't tend to limit myself to existing scripts as so many folktales are simple enough to adapt. Another great thing is to be the narrator talking with another puppet or puppets as you tell the story.
Puppets are so great to use in so many ways. At the risk of once again leading you to my own site, many have found useful an alphabet I created of ways to use puppets in storytelling at http://www.lois-sez.com/Puppets.html. Hope these suggestions help, Betty!
Here's another book you may like. Fun Puppet Skits for Schools and Libraries by Joanne F. Schroeder. The stories, songs, et cetera would all work with preschool through primary grades. Some are specifically for 1 person & there are ways like stick puppets to manage stories that require several characters quickly.
I'll keep looking as time permits. I have a workshop in Petoskey, MI specifically about using puppets specifically for this age group, so it will help me, too, to have additional resources. Glad to help us both!
When I had a chance, I went hunting online to see if there are any sites you should visit. There are many for Biblical puppetry, but I only found http://www.puppetresources.com/for general purpose scripts specifically prepared for puppets. Some of them will work for solo puppetry. Of course your adapting folktales will still be the option I would recommend as it's the most flexible to meeting both thematic needs & your own.
No problem, Betty, I saw your thank you on my Group on Puppet Hub (it's called Out Front with My Puppet, for people listening in like Kevin did!). Ah the joys of multi-networking! Glad it helped however your managed to get it.