While this sounds like a western, THE SHERIFF OF COCHISE was a contemporary police drama set in Cochise County, AZ. Sheriff Frank Morgan was eventually promoted to U.S. Marshall and given the entire state of Arizona to keep under control (the series title would subsequently change to U.S. MARSHAL and remain in syndication until 1960)
U.S. Marshall (Season 2)
Ghost Town (Episode 1)
Air date: 1959-10-10
Runtime: 30 min
Overview: Morgan and Ferguson track a pair of murderous escaped convicts to a desert ghost town where they're holding the wife of a cellmate as a hostage.
Anything for a Friend (Episode 2)
Air date: 1959-10-17
Runtime: 30 min
Overview: Convinced of his friend's innocence, a friend disguised as a minister switches places with a suspect accused of mail robbery and murder and allows him to escape. While Marshal Morgan's men search for the escapee, another man who was implicated in the crime is found recently shot to death along with mail sack containing part of the loot.
Episode 3 (Episode 3)
Air date: 1959-10-24
Runtime: 30 min
Trigger Happy (Episode 4)
Air date: 1959-10-31
Runtime: 30 min
Overview: A gun stolen from a green police officer is used in a murder.
Episode 5 (Episode 5)
Air date: 1959-11-07
Runtime: 30 min
Ambush (Episode 6)
Air date: 1959-11-14
Runtime: 30 min
Overview: Morgan and Ferguson search for a missing deputy who had been sent to arrest a fugitive believed to be living in a tiny mountain community, but find the local constable uncooperative and the townspeople hostile.
The Tarnished Star (Episode 7)
Air date: 1959-11-21
Runtime: 30 min
One of the Ten Most Wanted (Episode 8)
Air date: 1959-11-28
Runtime: 30 min
Episode 9 (Episode 9)
Air date: 1959-12-05
Runtime: 30 min
The Assassins (Episode 10)
Air date: 1959-12-12
Runtime: 30 min
Episode 11 (Episode 11)
Air date: 1959-12-19
Runtime: 30 min
Honeymoon (Episode 12)
Air date: 1959-12-26
Runtime: 30 min
Overview: Upon learning his fiancée has a fatal illness, a convict escapes from Leavenworth Penitentiary and engages in a one-man crime wave in an effort to marry her before she dies.
Episode 13 (Episode 13)
Air date: 1960-01-02
Runtime: 30 min
The Triple Cross (Episode 14)
Air date: 1960-01-09
Runtime: 30 min
Overview: Ex-insurance investigator Sykes reports to Marshal Morgan that he's pursuing a crook who stole $100,000 in a bungled payout that cost Sykes his job. Suspiciously, that crook is soon found dead along the roadside with the money missing.
Shortcut to Hell (Episode 15)
Air date: 1960-01-16
Runtime: 30 min
Nine O'Clock Pickup (Episode 16)
Air date: 1960-01-23
Runtime: 30 min
Overview: Marshals Morgan and Ferguson are called in to investigate the murder of a postman and the theft of a sack of mail from his truck. The only clue to the crime is a broken bottle the killer drove over as he fled the scene of the crime. The lawmen find the shredded tire at a nearby gas station, but are curious why the operator is reluctant to assist in their investigation.
Episode 17 (Episode 17)
Air date: 1960-03-12
Runtime: 30 min
Episode 18 (Episode 18)
Air date: 1960-03-12
Runtime: 30 min
Episode 19 (Episode 19)
Air date: 1960-03-12
Runtime: 30 min
Death and Taxes (Episode 20)
Air date: 1960-01-30
Runtime: 30 min
Overview: When a beautiful blonde who had approached Morgan about receiving a reward for providing information about tax evasion is found dead, the Marshal and his deputies investigate the owners of an import/export business who had been investigated previously for failure to pay their taxes.
Episode 21 (Episode 21)
Air date: 1960-03-12
Runtime: 30 min
Episode 22 (Episode 22)
Air date: 1960-03-12
Runtime: 30 min
Kill or Be Killed (Episode 23)
Air date: 1960-02-06
Runtime: 30 min
Overview: A federal witness is murdered in New Mexico. When the suspects are spotted in Arizona, Marshal Morgan mobilizes his men to track the pair. One of the killers is captured in a garage, but the other, an oily ladies' man, hides out a remote farm and woos its pretty, but gullible, owner.
Paper Bullets (Episode 24)
Air date: 1960-02-13
Runtime: 30 min
Overview: Morgan and Ferguson scramble to capture a bank robber who sends threatening notes and collects his loot utilizing unsuspecting messenger boys.
Backfire (Episode 25)
Air date: 1960-02-20
Runtime: 30 min
Overview: Trio of hoodlums work with an inside man to steal the company gold. They immediately murder the inside man to prevent any linkage to him. The plan backfires when Morgan has a portrait reconstructed which establishes the link to the dead man.
The Man Who Never Was (Episode 26)
Air date: 1960-02-27
Runtime: 30 min
Overview: An elderly man strikes a woman who crossed the street in front of her, seriously injuring her. The driver insists that she was with a man, but she insists she was alone. Marshal Morgan is interested in the man who disappeared because he believes the other pedestrian was the woman's husband, who is wanted for murder and robbery in Chicago.
Destination Nowhere (Episode 27)
Air date: 1960-03-05
Runtime: 30 min
Overview: When a truck carrying top secret missile parts disappears en route to a military base, Marshal Morgan and Deputy Ferguson join the search. During their investigation, they encounter an eccentric Englishman, an old country store operator who doubles as town constable and justice of the peace, a pair of wary café operators and an all-night gas station operator with something to hide.
Episode 28 (Episode 28)
Air date: 1960-03-12
Runtime: 30 min
Episode 29 (Episode 29)
Air date: 1960-03-19
Runtime: 30 min
Episode 30 (Episode 30)
Air date: 1960-03-26
Runtime: 30 min
Episode 31 (Episode 31)
Air date: 1960-04-02
Runtime: 30 min
Episode 32 (Episode 32)
Air date: 1960-04-09
Runtime: 30 min
High Fence (Episode 33)
Air date: 1960-04-16
Runtime: 30 min
Overview: High Fence
Episode 34 (Episode 34)
Air date: 1960-04-23
Runtime: 30 min
All's Not Gold That Glitters (Episode 35)
Air date: 1960-04-30
Runtime: 30 min
Overview: An old geezer known for being in debt suddenly shows up with a big wad of cash. He claims he struck gold but he actually found a stolen bank stash. When the robbers come looking for their stash, it's up to Morgan to save the old man.
Episode 36 (Episode 36)
Air date: 1960-05-07
Runtime: 30 min
Episode 37 (Episode 37)
Air date: 1960-05-14
Runtime: 30 min
Episode 38 (Episode 38)
Air date: 1960-05-21
Runtime: 30 min
Shoot to Kill (Episode 39)
Air date: 1960-05-28
Runtime: 30 min
Overview: The owner of a diner spots Carl 'Mad Dog' Robinette, a criminal wanted dead-or-alive in his restaurant and reports the fact to the police. When the crook is arrested he threatens revenge upon the café owner; when he escapes custody shortly thereafter he carries out that threat by taking the restaurateur, his wife and lovely daughter captive.

Seasons
Episodes 3
Episodes 2