Clark genealogy source mentioned in Solomon's profile has the Wife Ann and children Mentioned in page 43, so that is another source to be used when creating the sons profile.
Clark genealogy pg 43
His family with his wife and children is later in the book, pg 56-57.
Births source is clearly this family and I don't see an existing profile. I think you have the information to add the child.
Looking at the DAR site and the SAR Patriot site I found 3 Solomon Clark records but they are not for Solomon born 1725. They are all for people born later, so possibly his son or later or other people. The Clark genealogy shows many Solomon Clark.