So its just a woofer?
Correct - it's a woofer or a bass driver.
As far as the cross-overs go - even just a single cap in line with a tweeter is termed a cross-over, albeit a very basic first-order one.
Most cheaper music-centre type speakers run very basic cross-overs.
However, having said that - I have a set of Sharp 3-ways at home, that run only caps on the midrange and tweeter, and they are very sweet sounding speakers, I suspect in no small part because they have very well-built cabinets and are correctly ported. They excel in near-field use, with lovely tight bass and very balanced and open mids and tops, with a wide stereo image. All this despite their modest design.
I remember those Coral speakers quite fondly. I guess they're not what most would call high fidelity, but they are pleasant to listen to - very laid-back non-fatiguing quality to them if I remember correctly.