Jamaican Roman Catholic database at www.jamicanfamilysearch.com does not assist much I'm afraid.
Volume 1 (St.Patricks Church, Kingston 1833-1845) has a listing for
Lindo, Mary E 118,
Volume II (St Patricks Church) has no listings,
Volume III INorth and West Ends of Island 1836-1863 has no listings either, but
Volume IV (Preston Hills 1867-1875, Above Rocks 1839-1845, Friendship- fox River, Devon Pne 1880-1881 and St. Thomas ye Vale 1838) for the following listings
Lindo, Lucy 43
Lindo, Caroline 43
Volume V (Seafor Town -Savlamar, Black River -"success" and different estates in South Western part of Island from 1871-1896) has the following;
Lindo, Joseph 88
Lindo, Lydda 90
Lindo, Augustus 92
Lindo, Arthur 93
Lindo, James 96
Lindo, Emilia 106
Lindo, David 112
Lindo, Anne 127
Lindo, Alma 139
Lindo, Clementina 139
Lindo, Edmund, 139
Lindo, Juliana 163
Lindo, Eleonora 163
Lindo, James 179
Lindo, Timothy 190
Lindo, Christine 190
Volume 6 (Newcastle 1870 Dec 18 to April 30, 1905) records does not have anything.
Although this has not revealed any Pizza or Pezza or Norman Lindo the location of the Lindo's most known church in Jamaica may assit you. There are also many records for Walkers on this site.
Hope it is of some assistance.
Amanda