Thomas was a bit of a mystery man but here are some entries that I found.

Holy Apostles Renews RC Baptisms 1857-1877 Part 1 (Wives)
July 22, 1868 Duggan, Mary Jane [Parents] Duggan, Thomas & Walsh, Margaret [Godparents] Thomas Cunningham, Mary Duggan [Priest] James Murphy
(may or may not be the same Thomas Cunningham as outlined below)

Diary of the Rev. M. P. O’Driscoll For the Years 1874 – 1881

January 15th. Tuesday.[1878]
Heavy rain. Had to “ Call” to Bay Bulls at 6 ½ a.m. to Paddy Ryan. Noticed great improvement made during the fall on the “ Quays” road. Last night a “ Night School” was opened at Toad’s Cove, under the superintendance of Mr. John Molloy, the teacher of that place. 46 scholars were entered, from 13 to 40 years of age. “ Rule of Three” the most advanced rule, All able to read some. A “Night School” was also attempted at Mobile, but failed for the want of a teacher. Mr. Cunningham, who had engaged himself for the work, having refused to undertake it.

January 14th. Tuesday.[1879]
Had a fine haul of wood, slide loads. Evening stormy. First sticks brought by Daniel FitzGerald and Sons for Mobile Chapel. On Monday, night school was opened in Mobile, Tors Cove and Caplin Cove. I visited schools of Mobile and T. Cove today, and found them well attended; 40 pupils at Mobile, 45 at Tors Cove. Mobile school in now conducted by Mr. Thomas Cunningham who took charge on January 1.

McAlpine’s 1894-97 Directory Ferryland District TOR’S COVE
CUNNINGHAM Thomas fisherman

McAlpine’s 1898 Directory Ferryland District Tor’s Cove
CUNNINGHAM Thos genl dealer

1900 Voter’s List Tor’s Cove Ferryland District
Cunningham, Thomas North Tor’s Cove and Vicinity 1900

Newfoundland Vital Statistics Death Records Selected for the Ferryland District 1890 – 1935 Part 2
December 18, 1903 Tors Cove Old Age Cunningham, Thomas 73 Ireland Tors Cove

McAlpine’s 1904 Directory Ferryland District TOAD COVE and VICINITY
CUNNINGHAM Thos fisherman
(names likely compiled in 1903 before Thomas died)