I know I've obsessed on this, and I do thank all of you for your kind replies and advice. For now, at least, both the puppy and the three cats are free of those flea pests. And my house, also, for now, seems flea-free, after much vacuuming, mopping and laundering everything, but i'm still watchful.
I used Capstar as well as Frontline. On one cat, I have recently used Revolution, and have a good supply of this for future use. It actually was shipped from New Zealand!
I check all the pets daily as they come inside, and so far, so good!
Thanks again,
Patty