To approach slowly and quietly in order not to be discovered when getting closer.
To (try to) follow or contact someone constantly, often resulting in harassment.Wp
My ex-girlfriend is stalking me.
To walk slowly and cautiously; to walk in a stealthy, noiseless manner.
To walk behind something, such as a screen, for the purpose of approaching game; to proceed under cover.
To walk haughtily.
Having a stalk or stem; borne upon a stem.
a stalked barnacle