The amount of blood varies in bitches, and what you actually see often depends on how much she cleans herself. It's normal for them to be as bit more soiled in the morning, and if she is a heavy bleeder you may well see some blood in her urine, as the urethra is within the vulva, very similar to human build.
You can always keep an eye on her gum colour if you feel she is bleeding heavily. You want it to be a nice pink (sometimes they are red after excercise, when they are stressed or excited, or if they are hot)