If you have separate property (acquired before marriage, acquired by separate funds, or received by gift, devise or decent) and the property is homestead (up to 200 acres for rural lands), your wife will have to sign a lease.
No one party can bind the homestead unless both bind the homestead. This kept the old man from betting the farm and losing it. Thank goodness for homestead rules. Also protects the homesteader form having the property seized for debt, unless you don't pay your property tax or get in trouble with the Feds.
Further, there are rules of fact that makes the land qualified as homestead. You do not, in Texas, have to have a homestead exemption on your property tax to qualify for a homestead exemption. Also, you cannot homestead severed minerals (obviously).
This sounds to me like a title curative matter prior to drilling a well. If you are married, bet your wife did not sign the lease and it is your separate property.