I've always loved the song "Waltzing Matilda" and feel very sentimental when I hear it, which makes me think I was an Aussie in a former life. I've never known what the song meant and so for the purpose of this post I tried to figure it out. I read the entry for Waltzing Matilda on Wikipedia and am still not quite sure what it means, except very roughly, it's about a swagman (itinerant worker in the bush) who dances with his "matilda," a rucksack with all his belongings, who is then arrested, and eventually commits suicide or is murdered beside a water hole--or something like that. I guess it doesn't matter--the melody is beautiful and the song seems to have universal appeal.
I play the easy arrangement of Waltzing Matilda (free tab available) by Al Wood, who created the Ukulele Hunt website. This might be a good song to learn before you tackle more complicated fingerstyle songs. There's no fancy fingerpicking--the right hand is played with the thumb only.
Playing fingerstyle ukulele, with information about the songs and where to find the ukulele tablature so that you can play these songs yourself.