Williams children were automatically denizens, being born to the King and Queen of England. After all, if the King himself is not a denizen, who is ? Certainly those born after 1688, somewhat doubtful if before , mainly because there had never been a precedent.
This was different for Sophie of course, she had no English connection after Elizabeth of Bohemia, hence the need for a Naturalisation Act.
Certainly be the recognised canons of descent, a lawful child of William and Mary , being Protestant , was an indubitable heir to the throne (assuming we exclude the children of Mary of Modena. That's a whole other argument) . A lawful child by Mary , fathered by someone other than William (not possible as history worked out, of course) , ditto. Absent any child of Mary or Ann, then a lawful Protestant child by William by any other mother would be heir , by right of Williams claim through his own mother, Charles II's sister (also Mary. Very confusing) .
This was different for Sophie of course, she had no English connection after Elizabeth of Bohemia, hence the need for a Naturalisation Act.
Certainly be the recognised canons of descent, a lawful child of William and Mary , being Protestant , was an indubitable heir to the throne (assuming we exclude the children of Mary of Modena. That's a whole other argument) . A lawful child by Mary , fathered by someone other than William (not possible as history worked out, of course) , ditto. Absent any child of Mary or Ann, then a lawful Protestant child by William by any other mother would be heir , by right of Williams claim through his own mother, Charles II's sister (also Mary. Very confusing) .