Looking at gaps in the tree

Portion of my Dad's side of tree.

Work & family obligations have been at the top of the to do list this month as our high school senior approaches graduation very soon. Family history research has been on hold, but I'm keen to try to break through some of the long standing gaps on various sides of the family tree. Above is a screen shot from part of my Dad's line. I've recently viewed some lectures on YouTube on using DNA tools and shared matches, so I'm going to try some new approaches to pushing past these gaps.

One such gap is on the identity of the parents of Thomas Green (my 4th-great-grandfather). I know he was born between 1806-1808 in South Carolina, based his entries in the 1850-1880 US Census in Jefferson County, Tennessee. I am hoping through a combination of land deeds via FamilySearch Labs and new DNA tools, I might be able to figure out his parents.

Another portion of the tree on my Dad's side.

Another gap is on the parents of my 4th-great-grandfather Asa Putnam Smith. He came to the US from Nova Scotia, and possibly served in a New Jersey regiment during the War of 1812. Although I viewed the widow's pension application file for his wife Lucinda at the US National Archives in 2013, I have been hoping additional records might become available to verify his service. Perhaps this same DNA technique might help as well.

3rd portion from my Dad's side of the tree.

A third gap is on the parents of my 4th-great-grandmother, Susan Ann Martin (wife of Isaac Smith). As with Asa Smith above, I mentioned Susan in my post back in March on using AI tools to overcome brick walls. I'm going to try once again to see what can be uncovered for these lines.