I am looking for a Hebrew book "Ajit Zavua" by author Mapoo or similar
name for title and author. It was published in the 1800 's or early
1900 's
Does anybody have an idea how I can get hold of a copy?

Hello.

You're looking for: 

"Ayit Tzvua" ("Speckled Bird") by Abraham Mapu

See: Abraham Mapu,  Hebrew Literature - Home Page
http://www.ithl.org.il/author_info.asp?id=167

Also spelled: "Ayit tsavu`a."
See the Library of Congress catalog entry:
http://catalog.loc.gov/cgi-bin/Pwebrecon.cgi?v3=1&DB=local&CMD=010a+57055527&CNT=10+records+per+page


The book seems to be very rare, but some libraries do have it.  You
could probably obtain a copy through interlibrary loan by printing out
the Library of Congress page cited above and taking it to your local
public library.

If you want to buy something, your best bet would probably be:
"Avraham Mapu Collected works," available through abebooks.com
http://dogbert.abebooks.com/servlet/BookDetailsPL?bi=79652912

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search strategy:
"hebrew authors"
mapu, abraham

I hope this helps. Good luck.

maybe I will be able to getit but I doubt