First, here is a great website, offered by the Doddridge county assessor's office Doddridge tax map site
Once you get into the site, choose West Union, map 8 and parcel 18. It seems to be the easiest to find. From there you can see the adjoining tracts. If you click on the Oil and Gas Wells layer, you see some red circles around the area but none right in the tracts. More later.
I found this on the old farm map (around 1915) which has the names you listed, and the tract in the middle, involving these current parcels, is Jeffrey Land 65 acres. It doesn't completely fit the current tax parcels, but parcel 18 is on the northwestern side. I believe these farm maps are not available anymore (if anyone knows of a source please say so). Not sure how to attach an image. If you want I can scan that part of the map and try to figure out how.
Using the Pipeline Plus service of the West Virginia Geological and Economic Survey, if you enter 4701706829
you will find some information on this well. At the bottom of the page you will find 3 links: All Data, View, Scans.
All data shows information about the driller, surface owner, things like that. This is a horizontal well, Fraley unit.
View shows a map. You see the well location marked in a turquoise color. At the left side are some things about the map. Click on Base Layers. I like to use the Topographic maps because it seems easier to find things and compare maps. When you can see the general layout of the Assessor's map with tax map and parcels, and the WV GES map, you can see that this well is somewhat south of your tracts.
Back on the Pipeline main page, see Scans. Click on that, and you see 2 links for this well: pdoc and plat
Choose Plat. You now have another map to compare. This appears to be just to the west of you.
Even with a small acreage I think you would do well to have a WV Oil and Gas attorney help you to negotiate. The good ones can get you a better deal, and make it worth their fee.
Net mineral acres is the total acreage (maybe it was the 65 acre Jeffrey Land tract that was your ancestor's) divided by your share of that. Not a lot but is worth getting the best deal you can for the long term.
See if these links work, and if this makes sense.
You can easily print the scan plat from the WV GES site. The Doddridge assessor's site won't let you print but you could order a tax map from them, and could take a picture of the screen.
Here is the Doddridge online records which you can use to see what you might find.
I expect since the permit we found is there, Antero is trying to get things lined up for the land adjacent, including yours.