How would you compare these two sentences?

I’m reviewing another writer’s work, and I note a systematic difference in the placement of adverbs from what seems right to me. I think it should be one way, and she obviously thinks it should be the other. I’m curious whether you discern any difference in meaning and whether you believe one way superior to the other.

she saw him watching her anxiously with that goofy grin.
she saw him anxiously watching her with that goofy grin

Her scrutiny slowly shifted to…
Her scrutiny shifted slowly to…