[Mikey T]

but she still leaves little spots in the carpet

It would be worth making sure she does not have a UTI (urinary track infection)


But is my hypothysis one of the big reason that basset are harder to house train than the average dog is they gain Sphinter control much later. A little Leakage is indictitive of this. However if the Little spots are roughly equivelent of when she normal goes then it is much more likely you are making a classic (common) mistake when it comes to house training as described in Housetraining Your Puppy

It is up to you, the adult human, to know when he needs to go out. Watch his activity level and the clock.
A 12 wk puppy who is busy playing may need to urinate every 15-20 minutes, whereas a resting puppy might go for an hour, and a sleeping puppy can go 8 hours at night. Activity makes urine! Activity makes urine! Repeat this 10 times, slowly. This is a very important lesson for new puppy owners.

When the puppy is active it need to go much more often so take it out more.