equipment - Can you purée without a food processor ...
A ricer (or food mill, depending on who you buy from) is a manual device (non-electric) that you might run cooked potatoes or parsnips through. Many people do mashed potatoes this way. Depending how cooked your parsnips get, a hand blender (or immersion blender, stick blender) may work. However, all of this requires you to shell out some cash ...