Evidence dilemma; what do you do?

Recently, I found another branch in my tree.  Now all of us know how exciting that can be!  However, also like most of us we need records of proof.  So here is my dilemma; this branch is entirely circumstantial.  I have not one exact record.  The closest I get is the 1820 census.  Where it lists the heads of household only and everyone one else is a tick mark in an age group.  My remaining evidence is this:
1. Death certificate listing birthplace as Vermont.

2.  Finding 1790 census listing head of household in Vermont.

3.  Last name is not that common especially for early America.

4. My direct descendant marries her husband in the same town where her children are born and kids names match the typical naming convention of first born son has middle maiden name of the wife.  Also his first name is that of her brother (potentially). Second son bares name of the head of household in the 1820 census, her Father and other Brother. Names are unique Seymour and Rufus.

5. Able to track her brother to same town as her son in later census records. They live very close to each other as well.

Now based off this for me it is hard to deny that this is the correct family.  But nowhere do I have a record that specifically states her parents.   My question to you is do you record it as an official branch of the family or do you record it as a possibility?

I welcome your thoughts on this one.

© Melissa Woodard, 2017