Thank you for your reply. It has helped. I am now recreating the multiple logins for this account. There was no problem creating just one login. It's when creating multiple logins for the same website that issues arise.
1. Creating a second login for the same account: from the "more" dropdown box next to the EFTPS account, I am selecting "Add Login." From there, I can enter only Login, optional description (I'm using the name of business here) and Password. Then to click either Add or Cancel. I click Add. Then I must go back and double-click on the account again called EFTPS, select the login I just created, click Options, click Define settings manually, then enter the two value fields (the EIN number, parts 1 and 2), and the login and password again.
2. When selecting a login to launch, SP takes me to an EFTPS "session expired" page (even though I have chosen "specific web page of the link above" in the Tie Account to field). So, once I click on "home" box at the EFTPS site, and then click on the "make a payment" box, SP pops up with a "change password" dialog box, to which I select "cancel". Then, after all those steps, I'm logged in.
3. Also, once I have created multiple logins for this account, I am unable to view the "value" fields (the EIN number, parts 1 and 2) for any of them. Shouldn't I be able to see the values when double-clicking on the account, then selecting one of the logins, and clicking options, and define fields manually... instead, I get a blank screen.
I have lost confidence that SP will retain my passwords, so I've been keeping them in a separate Excel spreadsheet, which defeats the purpose of having SP in the first place. Aargh!
Surely, there must be a simpler way, but I'm not getting it. I appreciate any guidance you may have to offer.