I have a 6 wk old female puppy who seems to be dripping urine, is wet all of the time. She is in a litter of 6 and is the only pup with the symptoms.
Any suggestions

Sounds like she may have an ectopic ureter. You'll need to see your veterinarian for a definite diagnosis. Many times this can be corrected with surgery. Good luck!

Could it be ectopic ureter? Google it and/or do a search on this board. Lots of info/advice available. And, of course, see what your vet thinks. If it is, surgery and meds can help her to live a normal house-dog life. Bless her heart and best luck.