Thankyou for setting me on the right road. I have chosen to go the Settings route and have had partial success, but still missing something important.
Present situation:
Default Account shows both names, with a tick beside mine
Under "Mail,Contacts, Calendars" , Accounts show both e-mail addresses. 'Mail' and 'Notes' are 'ON' in both.
On the startup screen "Mail" shows a figure of 16
Opening mail shows
All inboxes 16
Myself 8
Wife 8
and this is repeated under the heading "Accounts"
Opening either shows 8 mails addressed to me, none to my wife. I have sent her, previously, a short message which should appear somewhere.
Checking each "Account" input (I suspect this is where I am wrong)
myself: Name Me
e-mail Mine
Description My email address
incoming server Host imap.orange.fr
User name my e-mail address
Password my password
Outgoing smtp.orange.fr
Advanced blank
my wife:
Name Me
e-mail my wife's e-mail
description my wife's e-mail
Host imap.orange.fr
User my e-mail address ???
Password wife's password
Outgoing etc, same as for myself.
Sorry for lengthy note, but I will appreciate your advice.
Eric