Electoral registers (on ancestry) have
1935
1 Baker Street
Thomas Nesbitt
Florence Armstrong
May Conley
Thomas and Florence there till 1938.
1939
72 Grange Road West
Thomas Nesbitt
Florence Armstrong
Is this Thomas?

Middlesbrough Standard, 20 May 1933
Objected to Wife's Friends
Sarah Nesbitt, the wife of a Grangetown smelter, was granted a separation order by which her husband Thomas Nesbitt, was ordered to pay her £2 per week for the maintenance of herself and two children. It was stated that Nesbitt earned £8 10s. per week, although at the present he was only working one week in two. When he was in regular employment he told the court that he gave his wife £6 or £7 per week for household expenses. He objected though to her present ‘‘friends” in Grangetown, but would be quite willing to go back to her if she would get away from them.
Is Sarah the lady at 52 Vickers Steet, Eston with two probable sons in the 1939 Register? No husband around.
Sarah Nesbitt, originally said born 14 Mar 1881 (can't read what it is altered to), Married, Unpaid Housework
Thomas Nesbitt was b Co Monaghan & died 1940
Gets interesting here!
Thomas Nesbitt death registered in Cleveland (covers Eston), not Middlesbrough
Dec 1940 Cleveland 9d 919
Nesbitt, Thomas
Age 60
Evening Gazette, 18 Nov 1940
R.I.P. NESBITT.—On November 16th, Thomas, beloved husband of Sarah Nesbitt. Cortege leaves 52, Vickers-street, Grangetown, Tuesday, 9.45 a.m., for Requiem Mass in St.Mary's Church. Interment at Eston Cemetery. Friends please accept this (the only) intimation.