Twitter Pull 7.x-2.0-alpha2 does not pull tweets, and cannot configure to correct problem

Our site used to pull tweets, but recently stopped doing so and won`t show anything more current than late June. We had previously updated to twitter_pull-7.x-1.0-rc5, which worked for a while; we understand that we need a version that uses oAuth, and want to comply, but this has been nothing but trouble. We`re doing this on a staging site, in hopes I can get it working and then replicate it on the live site.

Today, I updated to (in the order shown below, as it only became apparent I needed to when I`d made the previous updates):

1. Twitter Pull 7.x-2.0-alpha2
2. Twitter-7.x-5.8
3. oAuth-7.x-3.1

I ran the update script and cleared caches each time. There is no OBVIOUS sign of failure, except at this point NO Twitter feeds are visible.

Following advice I`ve seen on other forum threads, I tried going through "site.com.com/admin/config/services/twitter/settings", registering the application, then entering the resulting oAuth Consumer information.

But I seem to keep circling back to the following error message: "Could not obtain a valid token from the Twitter API. Please review the configuration." But, where or how to get the correct token is a mystery.

I'm logging this as "documentation" for component, because that seems to be where the error is: in making clear what the missing steps are.

Any advice would be appreciated.