We actually call our position the Membership/Hospitality Chair.
We can't seem to fill it.
We'd have them greeting and feeding at meetings, including coming up with a theme if they are so inclined, and getting people signed in and name-tagged.
They'd also be involved in other events where refreshments are involved for volunteers (landscaping days for us).
Our plan also has them tracking the volunteer hours, which is mostly data entry and making sure the tracking forms are at the events. Currently, the President does this stuff, and quite minimally, I might add.
I think a good person or group in this role could really affect the way a group is perceived. This is an area that, with a little extra attention, can make a big difference.
You could keep their description general and let them run with it.
If your board thinks it is worth it, you could give them a small budget.