Familysearch.org has:
Name Relation Marital Status Gender Age Birthplace Occupation
Jane QUAYLE Head M Female 28 Douglas, Isle of Man Housekeeper
Leonora QUAYLE Daur Female 1 Douglas, Isle of Man
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Source Information:
Dwelling 21 Chester Street
Census Place Onchan, Isle of Man, Isle of Man
Family History Library Film 1342346
Public Records Office Reference RG11
Piece / Folio 5604 / 73
Page Number 12

Findmypast household transcript has:
Name Relation Condition Se x Age BirthYear Occupation Where Born

QUAYLE, Jane Head Married F 28 1853 Housekeeper Douglas Isle of Man
QUAYLE, Leonora Daughter Single F 1 1880 Douglas Isle of Man

Piece:5604 Folio:73 Page:12 Registration District:Isle of Man
Civil Parish:Conchan Municipal Borough:
Address:
21, Chester Street, Conchan County:Isle of Man

I had a look at the scan, and her daughter was definitely entered as Leonora.

Sue