If the named pilot is correct then he served at RNAS Redcar Flying School between 5th May 1917 and 23rd June 1917 so it is right to assume that the incident that damaged Longhorn N5057 must have occurred between these dates. The only information I have is that on an unknown date Longhorn N5057 was damaged at Redcar in a flying accident at the RNAS Flying School.
Longhorn N5057 was built by Brush E.E. Co.Ltd at Loughbrough and was delivered to AAP at RNAS Killingholme on 17th February 1917. It was transferred up to Redcar on 14th March 1917 and joined the RNAS Flying School. Following damage sustained at Redcar, presumably in either May or June 1917 it was not repaired and when assessed on 8th September 1917 it was deleted from stock.
Pilot - Provisional F/O Ronald Sykes RNAS.
Ronald Sykes was born on 3rd March 1899 in Stockton on Tees. He enlisted for RNAS service and was granted a commission on 1st April 1917 and then trained at RNAS Redcar Flying School between 5th May 1917 and 23rd June 1917. Leaving Redcar he was posted to Cranwell where he was awarded a Royal Aero Club Aviators' Certificate (Cert.No.6914) on 28th June 1917 there. After completing his training at Redcar he was posted to No.9 Naval Squadron on 20th September 1917 and he shot down his first aeroplane soon after but his own aeroplane was also damaged in the combat and he was forced to land behind enemy lines. He managed to escape by swimming the Yser River and returned to British lines. In March 1918 he joined No.3 Naval Squadron and shot his second aeroplane down. When the RAF was formed a number of the RNAS unit's formed RAF Squadrons, No.1 Naval Squadron had become 201 Squadron RAF which he joined and by the end of the War had scored at least a further four aeroplanes as shot down. He also flew with 203 Squadron RAF. After the WW1 he served with the RAF in Russia and in 1919 the Sopwith Camel he was flying crashed, he became a PoW until a prisoner exchange took place. He was awarded the DFC for service in Russia, Gazetted on 8th February 1919, the citation for this reads.."An excellent patrol leader, who displayed marked gallantry on 27th September. While engaged in dropping bombs on enemy infantry in a sunken road he was attacked by four enemy aeroplanes. Out-manoeuvring them, he retired west. As soon as the hostile aeroplanes had withdrawn, he returned and fired a number of rounds into the infantry at 200 feet, causing many casualties. He then dived on another party of fifteen, who became so demoralised that they surrendered to one of our men." He was also awarded the Order of Saint Stanislas (a Russian medal). He re-took the RAeC avaitors' certificate at the Lancashire Aero Club on 16th February 1939 (Cert.No.17249) and was living in Sale, Cheshire at the time. He died on 15th September 1977 in Bredon, Worcestershire. Ronald Sykes appears to have written an autobiography entitled "Serving with 201 Squadron".