Hi Username 132,
As promised,, a few pics that might be of use to you.
This pic shows the damaged area to be removed.
In these two, i'm cutting back into sound plaster, and i'll remove the old damaged plaster back to the cut line.
This one shows the area of lath cleaned off with water and pva'd, ready to be re-plastered. Make sure you remove all the old plaster between the laths themselves.
Pay particular attention to the existing plaster edges with the pva.
Work the plaster into the wet pva'd edges,, go all around the edges before they dry out, then coat over the whole patch, using just enough pressure on the trowel to push the bonding plaster through the gaps in the wooden lath, which will secure the plaster.
Bring the thickness of the plaster out to around 2/3rds, check it with a straight edge to see it's not proud, and then scratch it and leave it to steady up or set, depending on what you're happy with.
Bring it out more or less flush, rule it off with the small straight edge, rub it up/let it set and it's about ready for a couple of coats of multi finish. Allow a mil or two for finish
I got the 132 wrong in this pic. (i thought it was 321)

I hope you understand the idea of the job through the words and the pics.
The materials needed for this job are: British Gypsum Bonding Coat plaster, Multi Finish, and a good quality PVA.
Alway make sure too that the old lath/nails are in good condition before you plaster back onto it.
Roughcaster.