The Membership Secretary reports to the Treasurer (me). The job entails tracking donations from members and non-members; setting up memberships; mailings for thank-yous, new members, reminders for renewals, and ding letters for delinquents; sending member addresses to our newsletter publisher for printing on the newsletters; and reporting the donations/etc to the Treasurer for recording.
Later this year I am hoping to move our membership software online, so that duties could be split between individuals (ie, split the list in pieces). I think Mike usually spends about 5-8 hours/week on it (I'll let Mike tell you the exact amount) most weeks, except in September when the annual fund drive drops and volume increases 10-fold. This is where having the software online would be most helpful.
Having a local-based person is nice, because you can talk face to face with the Davises (who get and sort the mail), myself, and others. I would be OK with someone based in New England, but further than that I think it would get more difficult. I think you need to be a somewhat proficient typist (even of the hunt-and-peck variety), organized, and not uncomfortable around computers.