Andrew lived near the River Dee and it is believed that this is the source of the family name.
Following from a detailed Dees tree compiled by Roger Deese:
445ANDREW DEAS was born Abt. 1654 in Aberdeen, Scotland near the River Dee. He married MARGARET DAVIDSON 11 Feb 1670 in Abbotshall, Fife, Scotland. She was born 12 Sep 1647 in St. Andrews, Fife, Scotland.
Children of ANDREW DEAS and MARGARET DAVIDSON are:
i. ROBERT DEES, b. 1670, Scotland.
ii. JOHN DEES, b. Abt. 1671, Scotland.
iii. WILLIAM DEES, b. 31 Dec 1671, Abbotshall, Fife, Scotland.
iv. HELEN DEES, b. Abt. 1674, Scotland.
v. JAMES DEES, b. 08 Mar 1674, Abbotshall, Fife, Scotland.
vi. EMANUEL DEES, b. 1675, Monikie, Angus, Scotland to James City County, Va.; d. 1723, Isle of Wright., Va..
vii. ANDREW DEES, b. 1678, Scotland.