Yes Ladyhawk appears to be the same family
1901 Census address 26 Post Office Longhoughton Alnwick Northumberland
William Gray age 43 born Longhouton (sett maker Whinstone Quarry )
Johann Gray age 46 born Scotland
John 18,William R 17,Margaret 14,Joseph 12 ,Mary W 10, James C 7,Peter C 5,Victor A 3
All children born Longhoughton
Rosie