The closest that I can get is the list of issue that Hurd Rogers wrote in his journal for Doswell Rogers b. 1736. He listed only ONE female named Caty which we all assume is the "nickname" for Catherine Rogers. Regardless there is a very close connection and this assumption seems to be accurate.
In ca 1844 there is a lawsuit in Lee Co. VA which names all of the issue of Catherine and William Roberts. It seems that their dau, Elizabeth Roberts, was married to one of the Adenstone Rogers. Doswell Rogers is believed to be the son of Adduston Rogers and Catherine Rogers of York Co. VA. There is an Adenstone on the deed records of Doswell in Wythe Co. VA in 1792 whom we assume is Doswell's son. Doswell and Adenstone are found in Lee Co. VA. However, the Adenstone who married Elizabeth Roberts is not this Adenstone nor is he the son of Adenstone who lived in Lee Co. VA, but he must be closely related to Doswell to carry this name. No other Rogers family carries these two names which come out of York Co. VA.