Hello Jill Paras
Welcome to the Microsoft Community.
Based on your description so far, it seems that the notification window does not pop up after a successful screenshot with your screenshot tool. Here's what you can try to check:
Hold down Windows+S >> search for Notification & actions >> then find Snipping Tool in the corresponding window >> click on the relevant screen to see if the corresponding option is turned on, as shown below **** (Image based on Windows 11)
If it is off, try turning on the notification option, Feel free to let me know if it works.
Chandy |Microsoft Community Support Specialist