VIDEO: Jaycee Dugard Speaks In New Home Video - "Hi I'm Jaycee"

The 29-year-old Dugard, who is living with her family at an unidentified location on the West Coast, said she gave the tape to ABC to ask for her privacy and eliminate the constant media presence lurking since she was reunited with her family -- an issue Jaycee's mother, Terry Probyn, tackles head on during her face time on the video.

"I'm Terry Probyn and on behalf of my daughters Jaycee and Shayna -- and my two awesome granddaughters -- we want to thank you for the love and support that you've given us these past few months," she said. "It is my desire to share our miracle with the world, but it has to be done on our terms.

"Please give us the time to heal as a family, without the prying eyes of the photographers and the press," Probyn said. "We released this video so that you can see that we're happy and well and when we have more to share we will. As a mother I am pleading for our privacy in this very public story."

Jaycee was allegedly snatched at age 11 by Phillip Garrido and his wife Nancy as she waited at a bus stop in South Lake Tahoe, California in 1991. The alleged sexual abuse by Garrido began almost immediately, and she subsequently gave birth to her daughters in the backyard prison.