Thanks for getting back to me.
I've some success...and a minor complication.
Gibb's book of poems, Bluebottles, is, in fact, available from several dealers:
I used to rare-book site, Abebooks, to track it down...several of the
copies available are signed by Gibbs.
However, the above results also show that Gibbs had at least one other
book of poetry:
On World War I by veteran, inscribed] "Bluebottles."
Gibbs, Arthur Hamilton.
Bookseller: David Hecht, Bookseller
Book Description: Boston, 1928., 1928. 46pp. 12mo. 1st edition. Dated
poems on World War I in which author served. Long pen inscrip. by
Gibbs to a fellow soldier, recalling the Hindenburg Line. Old
watersts. throughout but blends in, barely noticeable. Gd. Orig. soft
bds. w/ attached dj. Bookseller Inventory # 7542
A collection of WWI poems seems a bit less likely to have a love poem
on the month of June, but then again...
Still, I hope these are enough leads for you to eventually track down
the elusive poem. Booksellers will often look through books, in
response to a call or email from you, to see if a particular title of
a poem seems to fit what you're seeking.
If you can, let me know how things work out.
search strategy -- Searched the WorldCat database of library books for
the author's name, followed by a search at AbeBooks.