In my opinion the symptoms you described are not fitting or sufficient to diagnose a prolapse. And it is quite unlikely to develop a prolapse at your age even though not impossible.
The tissue you saw would most probably be just the mucosa(epithelial lining) of the urinary tract
I think you are suffering from some kind of urinary tract infection(UTI). Get a urine routine examination done with microscopy.
In the mean time I'd advise my patients to take lot of water and citrus fruits like orange.
To completely rule out prolapse a per vaginal examination is required. If our symptoms doesn't remit after taking medications for UTI get yourself examined.