Anne, I think the ones I have are Spathoglottis plicata. Do yours have the pleated leaves?
Mine are blooming still. We've had some nights down into the 40's and it has not slowed them down so if you are keeping them in the greenhouse, they can get on with growing, I would think. Once you get them blooming, they just keep right on until they get too crowded. My pale yellow/purple ones have been blooming for months. See pic
I have a lot of the purple ones, as Lowe's carries them as landscape plants here in the spring and summer. Last spring I divided them, and they have pouted and not bloomed until just the last few weeks. As with a lot of orchids it seems they want a change of temperature in order to get inspired and put up a bloom stem. Suddenly all the divisions I made are putting up spikes.
They seem to like growing in the leafy duff under my big oak trees, so bright shifting shade with some good peeks of sun. Loose loamy soil. I give them slow-release pelleted fert in the spring and fall.