I'm trying to develop a model where I would select a parcel from a county server and then show every parcel within 1000 feet of it as well as immediate adjacent landowners?
seems like a bit of overkill, but you can start with
Select Layer By Location—Help | ArcGIS for Desktop using within a distance of... as the search criteria. Then when you have that selection, you could simply do it again with the 'shares a line segment option'
But have a look at this visual/geometry guide to fine-tune what you want and when
Select By Location: graphic examples—Help | ArcGIS for Desktop
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