No joy from the Admiralty War Diary for 1 June 1943
https://www.fold3.com/image/302074584
Enemy Air Activity
St. Catherines Lighthouse bombed
Following from N.O.I.C Isle of Wight begins. At 011125 St. Catherines Signal Station G.P.P. Niton W/T and lighthouse were attacked by 4 ME.109 by bombs and cannon-fire.
No naval casualties.
Lighthouse received direct bomb hit. 3 lighthouse keepers buried. Boiler house wrecked. Ends.
(C. in C. Portsmouth. 011607 to Admty)
There might be something in the "German Naval Air" reports for June 1943 in TNA HW 13/35 but that's not a file I've looked at.