I've a vague memory of a cartoon, possibly shown on ITV (UK) or RTE (Ireland) circa 1985. The animation/puppetry was quite basic, but it was kind of creepy, even though it was a kids program. It definitely had fantasy and horror elements!
The rabbit had an Australian accent, and could have been a discarded cuddly toy, there was another character a "crow" which was a black wire umbrella, its head was the handle and its wings were the shredded remains of the umbrella fabric.
I think the umbrella was out to get the rabbit.
The rabbit was the main character, I think his name was something like Wollamaloo, and the TV program was named after him.
Any ideas what the rabbits name was?