Living and working fully in VA for employers in other states, what are the filing requirements?

I would like to confirm the filing requirements for the following scenarios:

1) Living and working fully remote in VA for a MD based employer. I would only have to file for VA, nothing needs to be filed for MD, correct?

2) Living and working fully remote in VA for a company with corporate headquarters in Ireland. The company address on my W-2 is from PA. For this job, I was specifically hired to be a remote employee in the US; I only worked out of my home office in VA while I was employed by them.  I would only have to file for VA, correct?