I am looking for a poem entitled "I Like Americans" - It is old,
written by a woman. I am not looking for the one of same title written
by Hemingway.

I tried the search "i like americans" -hemingway on Google which shows
all results that include the phrase "I like Americans" without the
term Hemingway. There were only 479 results, none of the first ones
which were the poem you were looking for. poem "i like americans"
-hemingway only has 21 results.

Hopefully another researcher will be able to help you find this poem.

Hi, bard68,

Granger's Index to Poetry (8th edition) lists a poem of this title by
Nancy Boyd.  It is included in an anthology "Yankee Doodles: a book of
American Verse", edited by Ted Malone and published by McGraw-Hill
Book Company in 1943.  A later edition of this was published in 1948
by Garden City Publishing Company under the title "The All-American
Book of Verse".

I wonder if this is the poem you are looking for?

Unfortunately my library doesn't have either of these titles in stock,
nor can I find the poem in any other anthology, nor anything by Boyd
herself.  The fatc that the poem is included in just one anthology
might suggest that it is somewhat obscure, or at least not too
well-known.

I hope this is enough to put you or another researcher onto the right
track now.  Good luck!