Umbilical stump bleeding is classic presentation for F13 deficiency (auto recessive). PT and PTT are totally normal since they do not involve the fibrin-cross linking step (just need to form the initial clot). 5M urea test.
We did this with our 3rd as had no clue about it with our other 2. That's the difference i working with a Doula and midwife! Do your research on all aspects of labor before you just "go with the flow". This is your baby you are bringing into the world! Their health is your priority.