to walk with head high and a vigorous step, used to describe a spirited, confident, or courageous manner

to have one's head held high and chest thrust out; to be full of spirit and confidence

To hold one's head high and look at the sky; (figuratively) to be self-satisfied and act in a haughty or arrogant manner, often implying a disdain for investigating conditions at lower levels

to raise one's head and look towards the heavens; (idiomatically) arrogant or haughty