Some sort of burner with a snuffer to put it out? (Dredging the imagination here...)

Yes, a little Spirit burner and snuffer. Used for warming mulled wine etc.

A burner plus spoon, to heat up something put in the spoon...?

Some idea of size would be useful.

It's a fondue burner, either for meat or cheese fondue. The burner is placed under the pot/pan to heat melted cheese or oil.

What is the connection to Growsonyou?

Maybe it was found in the garden shed! :)

Welcome to GOY Penfold. We will look forward to hearing how your garden grows. Ha! Ha! Cammomile members can ask about anything on GOY. Maybe Penfold will use at his/her next bbq in the garden now its use has been identified.