Thanks for your reply.
It seems that the wireless printer will print with a LAN cable, but not wirelessly.
Yes, I have followed the instructions and even spoken to Epson online chat (not too helpful).
The printer icon - it's an Epson XP-225 - is in Device Manager with a green tick alongside it.
The Epson support page is here:
http://www.epson.co.uk/gb/en/viewcon/corporatesite/support(two manuals if you scroll down to the bottom).
The user manual is here: ftp://download.epson-europe.com/pub/download/3789/epson378919eu.pdf
I now have the IP address of the router and can access its software through my browser. If I log-in there, what should I be looking for in terms of the printer - an ID, IP address, name of the printer, etc? If I can locate the IP address of the printer, should it be the same as the IP address of the computer?
Thanks again.