This standard is now 100 years old. We're able to reproduce the lyrics in full.

George M. Cohan's statue stands in the heart of Time Square, at Duffy Square, on the same traffic island as the TKTS. booth.

http://www.musicals101.com/lycohan.htm

"Give My Regards To Broadway"
Music and Lyrics by George M. Cohan

Cohan introduced this in Little Johnny Jones (1904). American jockey Johnny Jones has been falsely accused of losing the English Derby on purpose, and must stay in London for the investigation that he hopes will clear his name. With this song, he bids farewell to his friends sailing home. The verses and refrain are in 2/4 march time.

This is the lyric as it appears in the original sheet music, published by F.A. Mills (NY) in 1904.

Verse I
Did you ever see two Yankees part
Upon a foreign shore,
When the good ship's just about to start
For old New York once more?
With tear-dimmed eye, they say good-bye,
They're friends, without a doubt;
When the man on the pier
Shouts, "Let them clear,"
As the ship strikes out.

Refrain
Give my regards to Broadway,
Remember me to Herald Square.
Tell all the gang at Forty-second Street
That I will soon be there.
Whisper of how I'm yearning
To mingle with the old-time throng;
Give my regards to old Broadway
And say that I'll be there, e'er long.

Verse 2
Say hello to dear old Coney Isle,
If there you chance to be.
When you're at the Waldorf, have a smile
And charge it up to me.
Mention my name ev'ry place you go,
As 'round the town you roam;
Wish you'd call on my gal,
Now remember, old pal,
When you get back home.

(Repeat Refrain)