Sounds like you have a small parlor cabinet - also very common. I think I've seen New Homes more often in parlor cabinets than the open leg style. The Coffin Top type are earlier than that.
Does your machine look like this one?
it is possible that the machine was not originally in that cabinet, however the parlor cabinets where very common for that time period. I don't recall if New Home made their own (like Singer) or had another company make them. I've seen a lot of New Home parlor cabinets in all sort of neat styles. Most often the machine is mounted to a tray, and the tray moves up and down (many go nose or tail down instead of sideways). I think I'm often more fascinated by the cabinets than the machines.