Loretta, are you flying a Delta partner airline? Because Delta's website clearly states that two checked bags are okay.
Domestic U.S. Baggage Allowances
Delta accepts a maximum of two checked baggage items free of charge for each ticketed passenger, in addition to one carry-on bag, plus one personal item. Delta's codeshare partners may have different guidelines and additional restrictions may apply on certain flights*.
Check two bags and carry on one bag, plus one personal item
*Customers traveling to or from Key West, Florida are limited to 1 checked bag.
Additional baggage may be accepted for an excess baggage fee. All baggage must meet the size and weight limits. Luggage carts count toward your bag allowance.
We may limit the amount of excess baggage when such excess prevents us from carrying each traveler's free baggage allowance.
For information on special items you want to check or carry on, go to the Special Baggage page.
Personal items
In addition to the one carry-on item, you can still bring one personal item such as:
a male or female purse
a briefcase
a laptop/computer*
a camera case
a diaper bag
an item of a similar size or smaller size to those listed above
*All laptop/computers must be carried aboard and cannot be checked.
These guidelines apply to all carry-on baggage:
Baggage must meet the size and weight limits.
Acceptance may be limited based on available space.
May be subject to additional restrictions on certain flights.
For information on special items you want to carry on, go to the Special Baggage page.