The latest i can find is HMS Porstmouth 5th Rate ship of the line,built in Deptford 1707 and used as a Hospital ship from 1720 till being broken up in 1728.An earlier mention was 1690.
PORTSMOUTH,32. 6th rate (1690 Portsmouth. Captured 1696)
1693 Capt. John CLEMENTS, who was promoted on 13 July from being first lieutenant of the BRITANNIA and was employed as a cruiser in the Channel. In July 1694, in company with CANTERBURY, he he gave chase to a large French ship mounting 36 guns, bound from St. Malo to Marseilles with a valuable cargo, consisting mainly of sugar. The PORTSMOUTH, being headmost in the chase, had nearly got up, when the enemy fired all the aftermost guns that would bear, accompanied by a volley of small-shot, one of which instantly killed Capt. CLEMENTS, the only person to suffer death or injury. The enemy surrendered immediately afterwards.
I found a further ref of an entry in the Parish records.
Apr 19 1867 James DELAFIELD, full age, widower, Seaman, HMS ? Portsmouth & Emily EARLE, full age, spinster, ? Street, Landport, fathers Joseph DELAFIELD, ? & ? in the presence of ? & Sarah EARLE
As far as i can ascertain HMS Porstmouth was the only ship to "Strike its Colours in the Face of the Enemy"Wether this means it struck with no shot fired im not sure.I cant actully find a direct ref to this occurance.It maybe worth dropping the IWM a line.