SQL Select - change time values for one row based on value in matching row

I am working on a scheduling page and have hit an interesting issue with trying to manipulate the times.  Using the following table as a sample,

UID	        Event	                                         Start	          End
37826	Half Day Breakout-6/6-6/10- 8:30-11:30am	6/6/16 8:30 AM	6/6/16 11:30 AM
37826	General Event	                                6/6/16 8:30 AM	6/6/16 4:00 PM
37914	Half Day Breakout-6/6-6/10- 8:30-11:30am	6/6/16 1:00 PM	6/6/16 4:00 PM
37914	General Event	                                6/6/16 8:30 AM	6/6/16 4:00 PM

I need to change the time of the Full Day Event based on the start time of the half day.  So if the half day is 8:30 to 11:30, the time start time for the general event should be 1:00 PM and the end time 4:00pm and vise versa if the Start time of the half day is 1:00 to 4:00 then the general event start should be 8:30 and the end 11:30.

The desired results would look as follows.

UID	        Event	                                         Start	          End
37826	Half Day Breakout-6/6-6/10- 8:30-11:30am	6/6/16 8:30 AM	6/6/16 11:30 AM
37826	General Event	                                6/6/16 1:00 PM	6/6/16 4:00 PM
37914	Half Day Breakout-6/6-6/10- 8:30-11:30am	6/6/16 1:00 PM	6/6/16 4:00 PM
37914	General Event	                                6/6/16 8:30 AM	6/6/16 11:30 AM

Please let me know if this makes sense, I have about nine different swipes at this using case but I think I'm going the wrong direction.

As always your help is greatly appreciated.
Thank you.