Hello...
Welcome to Rootschat

Sorry I can't make a definite link between Thomas Frederick MORLEY and the George MORLEY who arrived in Nelson in 1842.
But if it's of any help I can make a fairly flimsy link between the two of them
EDIT:
Before I get carried away, I just noticed that you mentioned that Thomas Frederick MORLEY was "born in New Plymouth in 1853". This makes my following post redundant as the George I mention below was living in Nelson in 1853.
The following obituary mentions that this George only resided in Taranaki from 1864 to 1877
http://www.rootschat.com/links/0u6n/
So what actual record do you have of this 1853 New Plymouth birth.
For what it's worth, the BDM NZ Births microfiche has the following 1853 birth registered in Nelson...
1853/126 - MORLEY, Un-named Male
And now back to the fairly flimsy link...-----
Here is the 1902 Will of Margaret MORLEY, wife of George MORLEY of Nelson...
http://www.rootschat.com/links/0u6c/It mentions two of her children, daughter Emma Jane and son Edward James.
Here is her 1902 death notice...
http://www.rootschat.com/links/0u6d/...her and her husband's Golden Wedding notice
http://www.rootschat.com/links/0u6f/...and her arrival into Nelson
http://www.rootschat.com/links/0u6e/Here is the 1896 death notice for her husband George...
http://www.rootschat.com/links/0u6h/...which mentions that they lived in Taranaki from 1864 to 1878-ish
The 1874 marriage of Thomas Frederick MORLEY to Rhoda HARRISON took place in Taranaki and mentions that George MORLEY was
"late of Nelson"http://www.rootschat.com/links/0u6g/As I said, a fairly flimsy link. But, if it is proven, you've got a wealth of family history from the death notices of George and Margaret.
-----
Here are the children listed on the BDM NZ
website to a George and Margaret MORLEY.
1857/06004 - MORLEY, NR - mother: Margaret father: George
1860/08321 - MORLEY, William Gordon Bell - mother: Margaret father: George
Died 11 Apr 1860 -
http://www.rootschat.com/links/0u70/1861/09169 - MORLEY, Edward James - mother: Margaret father: George
1864/10766 - MORLEY, Emma Jane - mother: Margaret father: George
1868/16271 - MORLEY, Charles Christie - mother: Margaret father: George
Died 14 March 1883 -
http://www.rootschat.com/links/0u71/1874/17217 - MORLEY, Arthur Alfred Clement - mother: Margaret father: George
EDIT:
The BDM NZ Births microfiche lists the above 1857 birth as...
1857/149 - MORLEY, Un-named Female - Registered in Nelson
There are possibly three names unrecorded, two boys (eldest son and second eldest son Thomas Frederick) and one girl (Mary Hilda, elder daughter - see below)
Here is the 1884 marriage of the elder daughter Mary Hilda MORLEY
http://www.rootschat.com/links/0u6k/Here is her death notice, four years later.
http://www.rootschat.com/links/0u6y/The 1896 death notice for George MORLEY says he leaves five sons. As two sons had pre-deceased him (William Gordon d.1860 and Charles Christie MORLEY d.1883) it means there were (at least) seven sons.
Regards
Beg