When you amble, you walk slowly and in a relaxed manner. Slowly they ambled back to the car. = stroll. to walk slowly in a relaxed way = saunter (ambler, from ambulare )
[ 'am-b&l ] (intransitive verb.) 14th century. Middle English, from Middle French ambler, from Latin ambulare to walk, from ambi- + -ulare ; more at ELASTIC.