It is a good idea to check all censuses for places of birth because these often vary between censuses.

However the 1881 one on FamilySearch also has Andreas - and her mother's name:
John WADE Head M Male 57 Jurby, Isle of Man, England Farmer Retired
Jane A. WADE Wife M Female 46 Andreas, Isle of Man, England
Jane CLARKE Mother In Law W Female 73 Andreas, Isle of Man, England
John C. WADE Son U Male 23 Jurby, Isle of Man, England Joiner
Jane A. WADE Daur U Female 18 Jurby, Isle of Man, England Dressmaker
Catherine M. WADE Daur U Female 16 Jurby, Isle of Man, England
Eliza E. WADE Daur U Female 14 Jurby, Isle of Man, England Scholar
Arthur E. WADE Son U Male 11 Jurby, Isle of Man, England Scholar
Mary A. WADE Daur U Female 10 Jurby, Isle of Man, England Scholar
William H. WADE Son U Male 8 Jurby, Isle of Man, England Scholar
Christian L. WADE Daur U Female 5 Jurby, Isle of Man, England
James A. WADE Son U Male 2 Ramsey, Isle of Man, England
John D. TUPPER Boarder U Male 16 Laxey, Isle of Man, England Watchmaker
Source Information:
Dwelling Lyndock Cottage
Census Place Lezayre, Isle of Man, Isle of Man
Family History Library Film 1342346
Public Records Office Reference RG11
Piece / Folio 5601 / 14
Page Number 5

The IGI has an extracted bapt for JANE ANN CLARK Christening: 28 OCT 1834 Andreas
Father: JOHN CLARK Mother: JANE MARTIN.

If you look up her marriage in the MM it should confirm her father's name and give his occupation.

Sue