John
This info is out of the Oakwood Press book.
Westoe Lane was opened some time between June 1887 and Feb 1888 with a 12 lever frame. It was reframed in 1920 with a 15 lever R.S.Co “pit” frame and again in 1935 with another 15 lever frame, presumably R.S.Co also.
Lighthouse was opened in 1929 with a 25 lever R.S.Co frame and the book comments that it was virtually redundant by 1954 after the passenger service had ceased the previous year. By 1957 the ES was out of use and OES working substituted, and the signalboxes were in essence treated as covered ground frames.
I doubt that there actually was a formal closure date in the accepted railway sense but they just fell out of use as circumstances changed.
Hope this helps
Martin