The purpose of this study is to see if giving the ALVAC vCP1452 anti-HIV vaccine alone or with another vaccine called AIDSVAX B/B to babies of HIV-positive mothers is safe. The study will also look at how these vaccines affect a baby's immune system. Most HIV-positive children get HIV from their mothers during pregnancy or birth. Treatment with anti-HIV drugs can reduce the baby's risk of getting HIV. Vaccines also may help prevent HIV infection. This study will look at whether the ALVAC vCP1452 vaccine and the AIDSVAX B/B vaccine can help the body fight off HIV infection. There is no chance of getting HIV infection from the vaccines. (This study has been changed. In earlier versions, ALVAC vCP205 and AIDSVAX B/E were going to be used.)