If you talk about being at someone's bedside, you are talking about being near them when they are ill in bed. She kept vigil at the bedside of her critically ill son
space by the side of a bed (especially the bed of a sick or dying person); "the doctor stood at her bedside
Your bedside is the area beside your bed. She put a cup of tea down on the bedside table He drew a chair up to the bedside and sat down