Closing Date. . . In Las Cruces, NM, this is the date the buyer and the seller sign the documents. This is not the day that the transaction closes.
Funding Date . . . This is the date that the lender funds the loan. Here locally, it almost always is also the date that the deed is recorded at the courthouse.
Recording Date . . . The date that the deed is recorded at the courthouse and the property actually changes hands.