The black on its own is the 'switch live' from your light switch.
edit: incidentally, if your earth sleeving is plain green then your house wiring predates 1977.
to feed your new light you need:
switched live
neutral
earth
So your plan seems to make sense.
Remember to use earth sleeving on any bare earth wires. Make sure you give each newly connected terminal a proper tug to ensure all the wires are in snugly.
Bear in mind that the lives in the ceiling will be 'hot' even with the switch off, so make sure you turn off the lighting circuit first, if not already done so.
edit: incidentally, if your earth sleeving is plain green then your house wiring predates 1977.
to feed your new light you need:
So your plan seems to make sense.
Remember to use earth sleeving on any bare earth wires. Make sure you give each newly connected terminal a proper tug to ensure all the wires are in snugly.
Bear in mind that the lives in the ceiling will be 'hot' even with the switch off, so make sure you turn off the lighting circuit first, if not already done so.