You are leaving out some very important information. However, I bet dollars to donuts that you are trying to use your Mom's computer on a different domain than the one for which her SMTP server is setup. An SMTP server is the outgoing mail server. Most ISPs don't allow access to outside SMTP servers. This is to reduce the SPAM that originates on their domains. When traveling, you usually have to use your ISP's webmail client rather than POP3/IMAP clients like Mail.I'm working on my mom's MBP. ... All four can receive mail, none of them can send.
Any troubleshooting suggestions?
You are leaving out some very important information. However, I bet dollars to donuts that you are trying to use your Mom's computer on a different domain than the one for which her SMTP server is setup. An SMTP server is the outgoing mail server. Most ISPs don't allow access to outside SMTP servers. This is to reduce the SPAM that originates on their domains. When traveling, you usually have to use your ISP's webmail client rather than POP3/IMAP clients like Mail.
I would first make sure no settings have been changed in Mail>Preferences. If nothing has been changed most of the time it is still a settings issue, I would check your outgoing server port for each account that isn't sending(you do this by going into Mail>Preferences then click on the accounts tab, then the account information tab, and there should be a server settings button on the bottom of the page) by default the port is set to 25, you can change that number to 587 and see if mail sends after that.
If you are still having trouble here is a general article for being unable to send email: http://docs.info.apple.com/article.html?path=Mail/2.0/en/ml1041.html
And also any error messages you are getting would be helpful as well.
Two things:... I keep Authentication, it asks for a password and rejects my password...any help would be much appreciated...thanks in advance, Ellen