Denoted a person from any of the various places named Eccleston in England, derived from Latin ecclesia “church” (via Briton) and Old English tun “enclosure, yard, town”.
Possibly means “brook” in Hebrew. In the Old Testament this is the name of a daughter of Saul. She was married to David, but after David fled from Saul he remarried her to someone else. Later, when David became king, he ordered her returned to him.
People with the name Demarcus have a deep inner desire to serve humanity and to give to others by sharing money, knowledge and experience, or creative and artistic ability.