I thought this message from Del. Ariana Kelly was helpful in explaining what is going on and options for getting a vaccine if you are eligible. You can get a vaccine from a hospital but you have to register with them directly, not with the county health department.
https://myemail.constantcontact.com/Who-s-the-boss---Answers-to-your-COVID-19-vaccination-questions.html?soid=1134728218909&aid=ClHZR0qaKxI

According to BB:

Here’s the allocation breakdown of this week’s shipment (18,825 total doses):
● 8,775 doses to Suburban Hospital in Bethesda
● 5,500 doses to the county’s health department
● 1,950 doses to Kaiser Permanente in Gaithersburg
● 1,600 doses to Giant pharmacies (400 to each of the four pharmacies)
● 1,000 doses to NIH

Hospitals received 57% of the vaccine this week but they are not part of the public online registration. I have heard people over 75 have hard time to sign up online. Does anyone know how the vaccine distribution works in MoCo or MD?