If the 1099-MISC has box 7 entries, then the IRS considers this self-employment income and you are in business for yourself. Record each 1099-MISC under a schedule C for your 'business'. You can use your name, SSN and address for the business. You may not consider yourself self-employed, but this is how it is recorded for tax purposes.
The net income will be subject to self-employment taxes (SE) but you also receive a deduction for 1/2 of the taxes as an adjustment to income. This means that you will not be paying anymore taxes than you would had each of you been a W-2 employee. You just would have been paying your share of SS evenly throughout the year, instead of all at once.