Han.

Han. is a clerk's shortening of the given name Hannah. Busy writers cut common first names down to a few letters, often raising the last letters above the line, and the habit runs through deeds, wills, tax lists and census pages.

Because the abbreviation is so short, an indexer may take it for a surname or a full name. Check the image and the sex column, and look for the name written out in a will, deed or later census.