It’s a good cover. I also like the original quite a lot.
Hello, my baby!
Hello, my honey!
Hello, my ragtime gal!
Send me a kiss by wire.
Baby, my heart’s on fire!
If you refuse me,
Honey, you lose me.
Then you’ll be left alone.
Oh baby, telephone
And tell me I’m
Your own!
(believed to be the first mention of a telephone in a popular song)
RlBBIT! 
And Pink Floyd’s Young Lust ends with one.
Also “You Know My Name”
One of the worst songs the Beatles wrote.
“Hello Central, Give Me Heaven (Cause My Mama’s There)”—1901
“Farewell My Own” from HMS Pinafore includes the lines “no telephone/ communicates with his cell.” Not bad for 1878.
Manhattan Transfer – Operator (Get me Jesus on the line). I have no idea if this is original or an old spiritual or what. I’ve always loved this version anyway (even as an atheist).
Best Coast - Bratty B
Pick up the phone, I want to talk
About my day, it really sucked
[…]
Pick up the phone, I want to talk
About how I miss you, I miss you so much
Grateful Dead - Operator
The Nutmegs: Hello.
Sonic Youth: Providence.
The Sidewinder Sleeps Tonite - R.E.M.
The ‘sidewinder’ is the metallic cord on a payphone.
Martha - Tom Waits
Operator, number, please
It’s been so many years
Will she remember my old voice
While I fight the tears?
Hello, hello there, is this Martha?
This is old Tom Frost
And I am calling long distance
Don’t worry 'bout the cost
*Hello baby, Yeah, this is the Big Bopper speakin’
Ha ha ha ha ha, oh you sweet thing
Do I what?
Will I what?
Oh baby you know what I like
Chantilly lace and a pretty face
And a pony tail a hangin’ down …*
“Telefone (Long Distance Love Affair)” by Sheena Easton: Telephone (Long long distance love affair) w/ lyrics 1983 - YouTube
Though the lyrics never actually mention a telephone, Please Come to Boston by Dave Loggins is obviously about three phone calls (She just said “no”).
Arlo Guthrie- Telephone (circa 1970, complaining about how intrusive the telephone has become into daily life)
Joe Satriani-the Phone Call
Faster Pussycat-Bathroom Wall (wherein the singer recounts finding someone’s phone # on the bathroom wall and actually calls it)
Harry Chapin’s “WOLD”:
Hello, Honey, it’s me,
What did you think when you heard me back on the radio?
What did the kids say when they heard it was their long-lost daddy-o?
Switchboard Susan – Nick Lowe
King Diamond’s ‘the phone call’…not sure if it counts as a song; it’s a track I think originally meant for the Them album, and it’s literally just a phone call from Grandma. I think there’s a couple of seconds of music at some point, so I suppose it would count.
and there’s a Neil Young song like that, too, where it appears to be just a recording of a phone call he’s making home…can’t remember the title of it though.
Jenny a.k.a. 867-5309 https://www.youtube.com/watch?v=6WTdTwcmxyo