Hello Itay,
As you'll see, it's mapping to a lead/contact field and not a campaign object field. Plus, it's only mapping a text value and not tying it to a campaign.
We have transferred the "New Name" value to SalesForce by:
1) Creating a field on the lead/contact (mapped together) that's a lookup to the campaign object. We call this field "Lead Source Detail"
2) In Marketo, when Lead Source is populated, we also populate Lead Source Detail with the appropriate campaign ID
3) On the campaign object, we created a roll-up summary of all Leads/Contacts who have that campaign listed as their "Lead Source Detail". We call this field "New Names" on the campaign object.
If you decide to go in this direction, I'd be happy to provide any additional details you need.