Well BD,
My Mom's eMac has both an admin account for me to use and access the computer to actually be able to troubleshoot and make changes as needed.
I have my own GMail account being accessed through Apple Mail on OS X 10.5.8 Leopard. My account works fine, but it is only working as a POP mail account.
I cannot get Apple Mail to work with IMAP on the eMac and Apple Mail.
My iPad accesses GMail by IMAP just fine, also, even though my Apple Mail GMail account is accessing GMail through POP Mail.
If I switch to my Mom's user account on the eMac, none of your suggestions or trying other things like deleting and recreating the account work.
Gmail through Apple Mail on 10.5.8 is NOT accepting her GMail password.
Her password works fine on the iPad and when I access her GMail account from a web browser, but fails to work at all in Apple Mail in 10.5.8.
It doesnt matter whether I use POP mail or IMAP mail protocols.
Another issues she has is if I change the mail protocol in GMail, then her iPad 2 won't send or receive mail and pops up a message that GMail needs to be switched to IMAP.
I don't have such an issues with using POP with Apple Mail on the eMac and using iMAP on my IPad. I still get my mail from both the eMac, my home IMac and my iPad 3.
I am stumped at this point and am having her, now, just access GMail from TenFourFox web browser.
Can't understand why my GMail POP account works on the eMac on 10.5.8 (despite the IMAP doesn't work issue)and my Mom's account doesn't.