Legal Question in Real Estate Law in Virginia

Your options would appear limited to: buying out the interest of the other party(if any) and refinancing in your name only or bringing a partition suit in the local circuit court to effect a judicial sale of the property with the proceeds of the sale appropriately divided.

And, yes, if the other party remains a co-owner of this property, then s/he would be legally empowered to bring suit to evict a third person living there, but that doesn't necessarily mean that this suit would be successful if this third person were residing there with your consent and paying rent (my opinion).