I think your two very pretty rocks are what is known as "glass slag"... which is a leftover from the manufacture of glass. Similar pretty pieces have been sold commercially by stores like Home Depot, for "ornamental" use in people's yards and gardens, etc.
The bluish green one is definitely slag and not malachite. The color isn't right as malachite is deep green and sometimes has black striations in it and it's too translucent which malachite isn't. The other pic is definitely too hard to tell by.
first glance -looks like glass slag
Having said that the images are to bleached - can you refrain from using a bright light or don't use a flash
they may be great stones but need a history on them and better pics
We have expert rock hounds that can help, if you help us
Brady