My name is Len Eilbeck and I live in Whitehaven. My ancestors have lived in and around Whitehaven, Egremont and Beckermet as far back as 1708 (Beckermet). There are a lot of Eilbecks around Gosforth and Eskdale in the late 16C. There is an Eel Beck which runs out of Eel Tarn in Eskdale and my theory is that the name originates from there. I am keen to share any relevant info.