Seann,
Be careful and do not give anyone your signed lease without payment in hand.
With that said, everything you described sounds perfectly normal (except the telephone # not working). Virtually all oil companies use independent landmen (male & female), several of them do “work out of their home” since their real work is typically done in county courthouses and via the phone & mail. So I would not be alarmed, but be cautious and re-read the first sentence of my reply. Good luck.