The name Kirkegaard literally means "Church Farm" in Danish, and appears to be a description that the family worked the 'Church Farm' in Hanning, Denmark.

My Kirkegaard line starts with Peder Neilsen, A Decendant Chart of Peder Neilsen (Kirkegaard)
An Indented Decendant Chart of Peder Neilsen (Kirkegaard)