Interesting couple of pieces! They are both plate etched:
1. the (negative of the) design is etched into a metal plate,
2. resist is rolled into the design
3. the resist is transferred to a special type of stretchy "paper"
4. resist then transferred to glass (in the negative of the pattern of the design)
5. rest of glass coated with beeswax
6. glass put in acid bath, etching the positive design
For different sizes/shapes of objects, it was necessary to make different plates, so they varied somewhat. Definitely a set! How interesting.
The jug looks very much like many that were made in the US in the 20s-50s, and etching was extremely common here. Likewise, the stem could have been made by any one of a large number of companies. It might be possible to pin it down to a specific maker if you're lucky. What's the volume of the jug (in oz., if possible)?
Or maybe it's English, who knows? This is a nice example of glass getting spread far and wide.
But then, the bird actually reminds me of a buff-banded rail, a common Australian rainforest bird. That would fit with the terrain. It couldn't be Aussie, Cathy? Or perhaps American glass imported and etched? Does it glow in UV?