If you read a bit more closely you will see that the wire was used as a guide and steam power was used to propel the aircraft which then rose once it had left the guide wire. There is plenty of information on the web and Rolls in Bristol had a replica when I worked there- see next link.
http://news.bbc.co.uk/1/hi/england/1591057.stm
There seems to be a lot of contention over firsts on this subject.
http://en.wikipedia.org/wiki/First_flying_machine
As Hydrogen Cyanide, I have to explain that I do know this subject professionally. Actually I read carefully about the guide wire and the use of steam power. So I'm taking that into account. A bit more explanation -
1. The model had momentum when it left the wire.
2. The momentum carried it forward.
3. Some unknown amount of thrust was also provided by the steam engine powered by the candle.
4. The model went 30 feet.
Analysis.
Initial energy components:
Height above ground at time of launch.
Momentum at time of leaving wire.
Energy during flight:
From steam engine powering two propellers.
Unknown:
The height at launch
Amount of momentum at the time of leaving the wire
Amount of thrust from the props
Known:
It went forward 30 feet or 3x the wingspan.
Question: Did the 30 feet of forward movement constitute powered flight?
Answer: No.
Reasons.
Any of a number of gliders would go 30 feet forward in the conditions described. Assume the wire was 6' above the ground, this only represents dropping one foot for five feet forward. Ten to one might have been expected for a 19th century glider (not sure we have any data on this) and today of course we do way, way better. If 1:5 is presumed then for level flight you need 6 lb/5 or 1.2 lb thrust; if 1:10 is presumed you need 0.6 lb thrust.
Powered flight occurs when an aircraft by using thrust can stay in level flight against the force of gravity. Thirty feet or 3x wingspan is clearly insufficient for such a demonstration, especially given the potential and kinetic pre existing energy components. A hundred or two hundred feet would be sufficient BUT:
For that short flight one would only have demonstrated flight in ground effect, which takes considerably less energy than actual flight.
As I mentioned, taking an estimate of the possible efficiency of the propulsion system and looking at it's input power would obviously disprove "flight". EG, what energy does it take to move a 6 pound thing? Did the steam engine at typical efficiencies (1-8%) for the power input produce 0.6-1.2 lb thrust?