Can the 1095-A identify which person in the household is receiving the Marketplace Health insurance?

[DoninGA]

Yes.  It will have the Recipient's Name, Social Security Number and Date of Birth.  If married it will also have the spouse's Name, Social Security Number and Date of Birth.

[DoninGA]

It will also have the Covered individual name, Covered individual SSN, Covered individual date of  birth, 

Coverage start date, Coverage termination date