Help !!!! Ben Adams the third or Ben Adams the first..which is correct?

Question

My husbands name is Ben Adams ..He named his son Ben Adams Jr....His son also named his son Ben Adams..Would Ben Jrs son name be Ben Adams the first or Ben Adams the third..Please help

Answer 1

Your husband is Ben Adams the First, or more correctly, Ben Adams, Sr. His son is Ben Adams, Jr., as you said. The grandson, or any third person with that name, is Ben Adams III (the Third).
Had the second Ben Adams not been the First's son--like a nephew or grandson--he would have been Ben Adams II (the Second).

Answer 2

Yes, Ben Adams the third