Near me is a Rock Hill.
Also a Mint Hill.
Less near me, but still close: Blowing Rock (not like that, I was disappointed to learn), Hickory, Cherokee*, High Point, Southern Pines, Rocky Mount, Chapel Hill, Emerald Isle, Myrtle Beach, Isle of Palms, Prosperity, Due West, Central (it’s not), and Mountain City.
Probably all named after the English placename, which is also pronounced rhyming with bedding. But it’s a homograph, anyway.
In Maine:
Caribou
Old Orchard Beach
Bar Harbor
Winter Harbor
Strong
Weld
Mercury, NV
Venus, PA
Earth, TX
Mars, PA
Jupiter, FL
Uranus, AK (a lake)
Neptune City, NJ
Pluto, WV
No love for Saturn.
Are they named after the Reading in the UK (also pronounced to rhyme with bedding)? It’s probably named after an Anglo-Saxon tribe.
I live near Apollo, PA (a palindrome!).
Near me (Missouri): Bunker, Boss, Banner and Bourbon.
:dubious: 
OK, OK … I could Google it … but it might be more fun for the OP to fight some ignorance here. I did note your location, HeyHomie.
…
To make myself useful to the thread at large …
Hot Coffee, MS
Monkey’s Eyebrow, KY
Studio City, CA
The Woodlands, TX
Spring, TX
Round Rock, TX
Laurel, MS (or is it ‘Yanni’? :p)
And a few local ones:
Violet, LA
Bush, LA
River Ridge, LA
A few more near Baton Rouge, LA and points east:
Central, LA
Independence, LA
Walker, LA
Baker, LA
All in Maryland (most are CDPs):
Parole (it began as a civil war parole camp)
Friendship
Mayo
Piney Orchard
Middle River
South Gate
White Oak
from New Mexico:
Farmington
South Valley
Sunland Park
North Valley
Loving and Lovington (probably named after people, but still have meaning in regular speech)
Silver City
Shiprock
Bloomfield
Truth or Consequences
White Rock
Black Rock
Church Rock
Meadow Lake
Twin Lakes
Paradise Hills
University Park
Edgewood
Crownpoint
Radium Springs
Waterflow
Fruitland
White Sands
Angel Fire
Elephant Butte
Nitpick: Cane was grown around Sugar Land. Sugar beets, AFAIK, are only grown up in the panhandle - they are a cold weather crop.
Viburnum is a bush/shrub (I’m sure there’s a difference botanically, but it’s lost on me). A rather dull-looking bush with teeny white flowers. There are about five of them in the entire city, all in front of the town hall.
Derby, VT
East Haven, VT
Fair Haven, VT
Fletcher, VT
Glover, VT
Grand Isle, VT
Guildhall, VT
New Haven, VT
North Hero, VT
Orange, VT
Proctor, VT
Reading, VT
South Hero, VT
St. George, VT
Victory, VT
Warren, VT
Wells, VT
West Haven, VT
There are others that are perhaps borderline… a “High Gate” is a thing, but is “Highgate”?
Bummer…Humptulips (WA) doesn’t count.
tap tap Is this thing on?
I live in a suburb of Portland, OR, called Beaverton.
Nearby are Forest Grove and Sherwood.
Up the road a bit, where the freeway ends at the coast, are Seaside and Cannon Beach.
Whenever I see the Reading I think of Monopoly.
The Reading Railroad on the Monopoly board refers to a real railroad that operated in southeast Pennsylvania, primarily between Reading, PA and Philadelphia. It also at one time ran trains to Atlantic City, which is how it ended up on the Monopoly board.
According to Wikipedia, the one in PA is.
The Monopoly board space was presumably named after the Reading Railroad which was a real railroad in PA. It ran from Pottsville, through Reading, then on to Philly.
It was absorbed by Conrail in the 70s.