I inherited a mature aloe plant that has been potted and sitting inside our enclosed screen porch. Over the last month it has started to sprout stalks for flowering. I'm not sure as to whether or not I should move the plant outside of the screen to help the flowering process. Does anyone have any suggestions?

If it's been sitting in its present location for a while and decided to flower there, leave it. It likes where it is. I'm not sure of its pollination requirements, whether it's self pollinated or requires insects to cross it with another. I've had a large Aloe for years that I'm still waiting to see flower. They apparently don't like full sun, but seem OK with filtered sun. Apparently, you've given it what it wants.
Rick