1) Is your e-mail program (e.g. Outlook Express) running at the time that you lose the
connection and it redials?  If so, it could be an issue of the mail program being set to
specific connection when checking mail.  The specific settings depend on the mail program
and its version.

Or it may simply be an issue of the line dropping out due to problems at the ISP or phone
company problems or other.

You may want to record a modem log file.  This will show all the commands sent to the
modem, the modem responses, Win95/98's interpretation of them, and some statistics.  (This
only applies to 32-bit Win95/98 TAPI programs, such as Dial-up Networking and
HyperTerminal.)

To record a modem log file, select Control Panel, Modems, Properties, Connection,
Advanced, Record (Append) a Log File.  This modem log file is created/appended to in the
Windows directory.  Be aware that the file grows 1K to 2K for each connection.  You should
delete it occasionally, while not connected.

The file is created in the Windows directory.  With Win95 it is typically called
MODEMLOG.TXT.  With Win98, it is typically called xxx.LOG where "xxx" is the modem's name.
For example, with my modem, the file name is:
C:\WINDOWS\AT&T DataPort Express V.34 (28.8).log

For more information on this, see the articles:
How to Create and Use the Modemlog.txt File
http://support.microsoft.com/?kbid=142730

2) This could be caused by your mail program, or another program set to dial a specific
DUN connection, such as to check for updates.  Look in My Computer, Dial-up Networking to
see if you have any extra DUN connections that don't belong there.  That's where the user
name would be stored,