Looks like David may have remarried;
1901 Census
Glasgow Newlands,Lanarkshire
Address: Gt Eastern Rd Police Buildings
David Brand, 43, Mar, Police Constable, born Bervie, Kincardineshire
Alice Brand, 35, Wife
AMELIA H Brand, 19******
Agnes Brand, 17
David Brand, 15
Johanna Brand, 13
Jessie Brand, 11
William Brand, 9