Hi and welcome to Just Answer!You are correct - the real estate agent must use Form 1099MISC to report the rent paid over to the property owner.
See for reference - http://law.justia.com/cfr/title26/26-188.8.131.52.184.108.40.206.html Example 5. G is a rental agent who manages certain rental property on behalf of property owner H. G finds tenants, arranges leases, collects rent, responds to tenant inquiries regarding maintenance, and hires and makes payments to repairmen. G subtracts her commission and any maintenance payments from rental payments and remits the remainder to H. With respect to payments to repairmen, G is performing management or oversight functions and is subject to the information reporting requirements of section 6041. With respect to the payment of rent to H, G is subject to the information reporting requirements of section 6041 regardless of whether she performs management or oversight functions or has a significant economic interest in the payment.