I got back to my house and put Griffin inside and grabbed a dog biscuit. Back outside, after following the lost dog around my yard for a while, I finally was able to tempt her with the biscuit to come close enough for me to get a hold on her leash. I brought her inside, much to the horror of several of my cats who saw her. She had tags (one of which read "I'm a lover, not a biter"), and I saw that her name was Darling. And she lived up to her name, too, being a very sweet dog once she calmed down from the excitement of her wild escapade. I tried calling her humans, but there was no answer. Here is a photo of her- you can see she is a beauty!
After their play session I was able to reach Darling's humans, and she was picked up and taken home where she belongs. A happy ending was had by all.