Oh, yeah, Kim, those are tapeworm segments. If you think those are gross, you should see the actual adult tapeworm. It looks almost like a tapemeasure, hence the name, I guess. I was going to tell you about a lovely experience I once had with an adult tape and one of my cats, but I think nothing would be accomplished by grossing everyone out. I'll just let you think of your own visual! And yes, the hookworms are as fine as a hair. And the roundworms (which most puppies have) look like spagetti! I guess I'm determined to gross someone out---sorry. It's just that I worked for a vet for 10 years, and an animal shelter for 20, so not much fazes me.
You have to get rid of the fleas to get rid of the tapes, because if there are any fleas left and she ingests one, that will start the tapeworm cycle all over again. But that's all it takes. That, and some Droncit.
Good luck!