In New York, the residency of the fiduciary (i.e. you) has no bearing on whether the trust is a resident or non-resident of the state. What matters is whether the grantors were residents of New York when property was transferred to the trust and when it become irrevocable. Assuming that the grantors never lived in N.Y. when the property was transferred to the trust or when it became irrevocable, there appears to be no N.Y. filing requirement.
In Virginia a resident trust includes a trust created by a person domiciled in Virginia. Since the trust was originally created in VA it appears to meet this criteria (see http://www.tax.virginia.gov/Web_PDFs/indForms/currentyear/770_Instr.pdf). I would recommend, based on the information you provided, that you file the VA form 770 Fiduciary Income Tax return.
Answers to some additional questions may help soldify the answer. Where does the trust benefiary(s) live? Does the trust distribute its income (some or all)?
Because it is impossible for me to identify and consider ALL the relevant facts, this advice is not intended or written to be used for the purpose of avoiding penalties, and cannot be used for that purpose.