So, how do I get my separate SVGs from this one larger image? An automated solution would be preferable to save time actually doing it. Everything I've looked at online is for separating each layer into a separate file, which is not what I'm looking for here. However, I have no idea how I could get the separate SVG images, which is important because SVG is what Unity prefers to display.

The PNG part I could probably do by hand using the Export PNG image menu option, picking a different area of the image to export each time. I would need each one to contain its respective 19px by 19px area, and be in both SVG and PNG format. Now when you save it, it should have the desired dimensions. What I can't figure out / find information for online is how to split this single SVG image up into multiple smaller files, one for each individual button image. File -> Document Properties or Shift+Ctrl+D. Basically, I now have each of the intended button images laid out on the same grid side-by-side. Multiple layers are used for the button backgrounds, icons, state effects, etc. The file I have uses a 7x4 grid, with each grid space 19px square and containing a single button image.

I am working on making window buttons for a Unity 7 theme using Inkscape.

Inkscape crop square