I think ive owned all the Rebels they made (apart from that bizzare competition prize posted recently) and love the brand due to my mate having a Rebel Pro Race while I was primary school (I had an Ironhorse for reference...lol).
Currently still own a Rebel Freestyler (twin top tube model) and a Pro Race, not buying anymore but always interested in whats about.
Rebel existed early 80's (82ish) to around 88/89ish. Based near Telford and produced initially race frames and bars and later moved into Freestyle (as did everyone). All parts manufactured from Reynolds 531. F/F's retailed at £100-115 for the race frames with later Freestylers available from £79 (went up against DP - and lost). You can find bars/frames/seat posts/pads/plates in a variety of styles as seen in that advert, but dont surface that often.
I do beleive they later got hit with a potential lawsuit and had to change their logo (due to it ripping off Revel models), though ive never seen any hard evidence of this other than the logo we all know and love was never advertised in magazines after about 86. It changed to a scrawled Rebel font with the confed flag.
Regarding your bars, they are indeed the same as the ones Daz had in chrome,
The frame/forks/bars then went to Phil (Sawzall):
and then on to me (swapped for my Rebel Cruiser frame/forks), although Phil kept hold of the bars.
Nice bars, nice brand (imo) but not massively sought after so I reckon £40-50 tops in non-mint condition.