I would switch exercises for a while. Go to a dumbbell press which is safer for shoulder, IMO. I would stay far, far away from upright rows with any weight where you'd approach muscle failure. So if getting stronger shoulders/bigger shoulders is your goal, just stay away from upright rows. Aside from heavy barbell bench presses, they are the exercise most likely to destroy your rotator cuff(s).
Alternative exercises: standing cable presses one arm at a time, dumbbell presses, standing or seated, body weight shoulder presses from a pike position with your feet on a well anchored bench, a windowsill or your toes on a stability ball if you are feeling really adventurous.
Are you working all 4 heads of the deltoid? You may need to strengthen the rest of your shoulder before you can raise the weights on your overhead press. Don't forget front raises, lateral raises, and rear delts. It sounds sill, but if you grab a lighter dumbbell than you would normally used for any sinle shoulder exercise and "write" the alphabet in giant capital letters with each arm separately(fairly straight but not locked elbow), you will hit all four heads of the delt. Or write any longish words. I have my clients spell their names if they are long enough, write happy birthday, Merry Christmas, etc. Then I tell them do write it in Spanish or French
Shoulders really are the smallest muscles, fatigue most quickly, and damage most easily. You won't see huge gains in what you can lift like with an exercise that targets primarily legs. In the last six years, I managed to progress from 8 lb lateral raises to 17.5. Yes double, but not much compared to my squat numbers. I've actually dropped the weight that I lift overhead and have increased the difficulty of the overall exercise by adding instability. My tendons and ligaments just wouldn't take any more weight even though the muscle was willing.
Good luck! Try something different
Mel