Albeit not as active as the previous evening, the evening of Thursday the 4th was the third consecutive with at least some severe storm activity in South Central Nebraska. This was truly a hit-and-miss, isolated to scattered event, as while storm coverage was fairly limited across the 24-county area as a whole, all four quadrants of it saw at least some convection. Overall, marginally-severe winds were the main issue, including measured gusts of 61 MPH at the Ord airport and 60 MPH at Waco, and estimated 60 MPH at Shelby, where the NWS cooperative observer reported downed tree branches up to 3 inches in diameter. Various other places clocked slightly sub-severe wind gusts of 50-55 MPH, including in or near Gothenburg, Johnson Lake, Arcadia, Gresham and Clay Center. Hail was less of an issue, with the only severe-criteria report consisting of quarter size stones in Sutton.
Breaking down event evolution and timing, two small/separate storm clusters entered west-central and northern counties between 7-9 p.m. CDT, a continuation of activity that initiated hours earlier over the Nebraska Panhandle. These early evening storms produced strong-to-marginally severe winds mainly in Valley/Dawson/Gosper counties. Over the next few hours from 9-11:30 p.m. CDT, both of these storm clusters briefly weakened, only to re-intensify and even merge somewhat as they reached eastern portions of the area, prompting various hail/wind reports from counties such as Clay/Polk/York before exiting into eastern Nebraska. Meanwhile, back off to the southwest, a separate area of strong storms blossomed between 10 p.m. and midnight CDT in several counties along the Kansas border, but there were no ground-truth reports from this convection that departed into southeast Nebraska/northeast Kansas after midnight. Finally, one last weaker batch of storms roamed various northern/eastern counties between 1-4 a.m. CDT on Friday the 5th before all local storm activity ended for the night. Both at the surface and aloft, the same general environment that supported severe storms the prior evening remained in place for this round. In the mid-upper levels,  broad west-northwest flow containing various embedded, low-amplitude disturbances persisted over the region. At the surface, the same seasonably-hot and moderately unstable airmass persisted as well, as afternoon temperatures topped out in the low-mid 90s F with dewpoints ranging from upper 50s F in western counties to 65-70 F in the east. As strong to severe storms traversed the area in the evening, mesoscale parameters featured 1000-3000 J/kg mixed-layer CAPE and 40 knots of deep-layer wind shear.

Thunderstorm Wind in POLK, NEBRASKA
From 04-JUN-20 21:40:00 to 04-JUN-20 21:40:00 (CST-6)
Location: SHELBY
Magnitude: 52.00 EG
Property damage: 50.00K
Crop damage: 0.00K
Reported by: Trained Spotter

Wind gusts were estimated to be near 60 MPH in Shelby and the NWS cooperative observer 3 miles northeast of town reported downed tree branches up to 3 inches in diameter.

Hail in CLAY, NEBRASKA
From 04-JUN-20 21:11:00 to 04-JUN-20 21:11:00 (CST-6)
Location: SUTTON
Magnitude: 1.00 
Property damage: 0.00K
Crop damage: 0.00K
Reported by: Trained Spotter

Thunderstorm Wind in VALLEY, NEBRASKA
From 04-JUN-20 19:43:00 to 04-JUN-20 19:43:00 (CST-6)
Location: (ODX)SHARP FLD ORD
Magnitude: 53.00 MG
Property damage: 0.00K
Crop damage: 0.00K
Reported by: ASOS

Thunderstorm Wind in YORK, NEBRASKA
From 04-JUN-20 22:07:00 to 04-JUN-20 22:07:00 (CST-6)
Location: WACO
Magnitude: 52.00 MG
Property damage: 0.00K
Crop damage: 0.00K
Reported by: Mesonet