Damage Settlements are normally negotiated prior to the company entering onto the land. If the company never contacted you or your neighbor, however, then they may have (probably have) left themselves open to legal action.
I suggest you and your neighbor give the company a call. Ask to speak to the Landman responsible for your area and well(s) and explain the situation to them. He or she will probably be quite willing to come to a generous agreement with you, as they sure as hell won't want to be responsible for a lawsuit being brought against their employer.
Better yet, have an experienced Oil and Gas Attorney contact the company and assist you in negotiating a settlement.
And just so you will know, Damage Settlements for Drill Site damages are one thing. Damage Settlements for the long term loss of the use of your lands (Production and Storage Areas) are based upon what you were using it for before they showed up. Lands under cultivation, lands in Timber, Grazing lands, whatever, all have different "loss" values. If the land is in a Subdivision, for example, you can demand that they pay you the retail value of the lot.
There are other issues to consider, such as the location of their facilities, location and maintenance of any roadways they use or build, fencing, gates, your and your neighbor's access and use of their roads, etc. For example, if they dug a Mud Pit, you can ask them to leave it when they leave: Free Cow Tank. If they drilled a Water Well, you can negotiate for them to leave the casing in the ground when they leave: Free Water Well.
Much of all of this should have been negotiated at the Leasing stage, but they will probably be happy to come to some sort of settlement with you.
I don't know where your lands are located, but see if the attached helps at all.
Hope this helps -
Charles Emery Tooke III
Certified Professional Landman
Fort Worth, Texas