From the instructions for Forms 1099:
Sole proprietors You must show the individual's name on the first name line; on the second name line, you may enter the “doing business as (DBA)” name. You may not enter only the DBA name. For the TIN, enter either the individual's SSN or the EIN of the business (sole proprietorship). The IRS prefers that you enter the SSN.
Limited liability company (LLC) For a single-member LLC (including a foreign LLC with a U.S. owner) that is disregarded as an entity separate from its owner under Regulations section 301.7701-3, enter the owner's name only on the first name line and the LLC's name on the second name line. For the TIN, enter the owner's SSN (or EIN, if applicable).
Contrary to ATSMAN, I prefer to use the EIN if available.
However, I agree with ATSMAN, I think the marketing business does not belong on Sch F, but on Sch C. There are some special handling of items on Sch F for which it seems the marketing business would not qualify.