The cloud icon in the top left of your screen should get one account at a time. (bottom left of this screen shot)

You can also right+click it to pick individual accounts.

Or use the keyboard find "Receiving and reading messages" on https://support.mozilla.org/en-US/kb/keyboard-shortcuts-thunderbird

Does that help?

Hi Wayne,

Thanks! Yes, that little cloud icon does work for one account at a time. I was hoping that the bigger Get Messages button could be programmed to do the same as I never want to get messages for all accounts at the same time (an issue with using the same account on two computers and TB only downloading mail in that account to whichever computer asked for it first).

Thanks for the link to the keyboard shortcuts - I'll see if the F5 key works for getting messages from one account at a time.

Thanks again!

Irene

It is planned for the bigger "Get Messages" to have the same capability. No ETA as yet.

Thanks! Hope they get that added soon!