Been trying that, but it's very difficult to prove a negative. Sir Richard White and Lady Catherine Weston did have a daughter Frances, but she was (probably) born in the early 1630s so can't have been of age to marry anybody until years after Dr. Richard Wells had latched onto "his" Frances White and started procreating. There have been attempts to crock the dates to make them work, but they crash against this:
Lady Catherine Weston, baptized at Roxwell 8 June 1607. That is found in multiple sources and is about as definite as anything gets in genealogy.
While we don't have a death date for Anne Gray, or the names of any other of her children besides Mary (m. Philip Waldegrave), or a marriage date for Sir Richard White and Lady Catherine, we do have the argument that marriage at or before fourteen and motherhood at fifteen is not all that likely. (And certainly not two generations in a row!)