Actress Vanessa Hudgens and her husband, Cole Tucker, have welcomed their first baby together. The couple was spotted leaving a hospital in Santa Monica, Calif., with their newborn on Tucker's 28th birthday. The exact date of birth and gender of the baby remain unknown. In heartwarming photos, Hudgens was seen cradling the infant in her arms while Tucker followed with their belongings. Despite the busy day, the new mom took the time to post a sweet tribute to Tucker on Instagram. Hudgens initially kept her pregnancy private until debuting her baby bump at the Oscars. The couple, who got engaged in February and married in December, had an intimate ceremony in Tulum, Mexico. Another "High School Musical" alum, Ashley Tisdale, also announced her pregnancy around the same time, leading to excitement among fans for the next generation of Wildcats.