Tucson, Arizona (CNN) — When President Barack Obama said Wednesday night that Rep. Gabrielle Giffords had opened her eyes for the first time since being shot on Saturday, an overflow crowd of nearly 30,000 people at a memorial event erupted into cheers that the congresswoman may have heard in her hospital room.

PHOENIX – U.S. Rep. Gabrielle Giffords is breathing under her own power and generally “holding her own” in her third day of recovery from a near-fatal gunshot wound, doctors said Tuesday.