I have a friend that works at a major oil company in Houston.
I started asking questions and got this in return.
Dawson County sits right in the middle of the most prolific oil play going on currently in the Lower 48 states. They're finding all kinds of hydrocarbon bearing formations that are being exploited through horizontal drilling.
Some of these wells are monsters and the decline in production curve is not as sharp as like an Austin Chalk well. If this is the first offer, sit back and wait a while. Oil needs to be in the $60/barrel range for drilling to get going strong in the Permian Basin again. When it picks up, you should start receiving multiple offers to lease.
You shouldn't have to "prove" your interest. They should go to the courthouse and run title
to figure out who owns what. It's good you know what you own so if they try to lease a lesser
interest you can tell them all about it.
Doesn't sound to me like these people are truly oil people. Any landman knows how to run title to determine ownership.