I would like there to be more vertical space between the staves.
I am totally lost on this so I didn't know what to try. Sorry.
On
Please provide a code snippet so that we can better help you. It's difficult to answer a question when little details about desired outcome nor any code is provided.
In Lilypond, the distance between staves can be adjusted by setting the between-system-space property. This property determines the amount of space between staves within a system, as well as the amount of space between systems.
Look here for documentation on this. The property your are interested in is
system-system-spacing. My\paperblock looks like this (adjust to taste):