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I can't  find him either in the death registrations . Are you sure he died  in Swansea in 1972 ,and didn't  go back to Ireland ?
 Posting this one  below  with exact same name just in case:

 Dungarvan, Waterford ,St Mary's RC
Patrick Joseph Street
Died 2-5-1957 Aged 48 .
The transcript on their  page says 1987, but unless my eyes are playing up -  the stone definitely reads 1957. His wife's age would tally with that too as it's not often that a woman is decades older than her husband.
Wife's  name Johanna ( died  1983, age 80)

https://historicgraves.com/st-mary-s-roman-catholic/wa-smrc-642/grave


When was your Patrick Joseph  born?  Or his about birth year ,if the exact birth date not known. What was  his wife's  name? ( if  no longer with us of course) , or any  deceased family members names? Any extra  little info may help to track  his death down.
Kind regards

This  below is a post on their Facebook page (dated 6 Feb).
Maybe give them an email over, it's  probably teething problems with their new site and they may, or may not be aware of the problem.
Kind  regards

These are  the baptisms  results for a John steele using "exact". It's the same for the other record  sets . The search  results will only show all John Steele's
Kind regards.

What I find really annoying  ,  and have done for years( unless I am missing  the obvious and there is this feature) when you press on a said name in someone's  tree that there isn't  any function  to show the relationships to  the home person ( or how they are supposed to be connected to the home person in the tree) . Ie steps ,an obvious path  back to the home person. 

For example  I have come across many trees that have my direct  relatives  in them  such as my grandmother and her parents , siblings  and so on but  for the life of me I can not work how on earth my relatives are connected to their home  person when are there are thousands upon thousands , upon thousands of names in their  tree  and the home person is  clearly not a close relative or none of the siblings of their  ancestors of each generation marrying a sibling of my family and so on.

I would love to see some type of clearly
marked path  ( or a tag saying 6th  cousin 5 times removed  in -law 100 times removed or  something lol )  from any given name in the tree back to the home person  in the trees, if you  know what  I mean. When a person's tree has zillions  of names and there is clearly no obvious  link  to the home person no matter how you look at  all their surrounding family, up down and wide, it's very hard, if not impossible a lot of the times  trying to discover  how that person  in their  tree is  connected to their home person in the tree.

Kind regards. 

 

On the point about 2nd cousins.
I have 3 2C matches on MyHeritage at 3-5%, respectively 212.5, 334.7 and 316.4 cM and a fourth on FamilyTree DNA at 206 cM.
I have none on Ancestry where a 339 cM match can only be a half 1C

339 can very easily be a half  first  cousin as too a second cousin, as too a first cousin once removed. I am   not sure where  your statement of 339 is coming in when referring to second cousins or  1st  half cousins? " I have none on Ancestry where a 339 cM match can only be a half 1C" ? ?


I share  over  500cms to both my first  half cousins ( 7% and 8%) and to my full cousins  who have tested , 12% and 15% . With my highest second  cousin I share 363 ( and 5%) all my other second  cousins are 4% and vary between low 200s and high 200s

It is totally  random  the way dna is split outside that parent and child relationship, a few of my cousins , my own  child is almost matching  me with cms ( and he  100%  not double related  to them but I have basically  passed down  the full wack to him on some lines)
Tracy  had said  her known second cousin is 7%  from her mum's  side  ( its her dad's
side that she is querying and  not  her 7% known cousin on her mums side, its  just that I have picked up on that near impossible 7% for a second cousin)
The 7 %  on her mums  side I  personally think is way off   for second  cousins, not 100%  impossible of course but  7% extremely  high for second cousins to be sharing , and just  maybe  Tracey  has mixed up  first  cousin once removed with saying second cousin( ?)

If we go by percentages,  that 7% is very likely  in  the  500s cMs  and it is  a very , very low chance of her known cousin  being  her second  cousin.  I think It's more than likely that's it   her first  cousin once removed and not a second cousin.
 
My mother's  sister thinks I am her second cousin  ,  I haven't the heart to tell  about her terminology as she's  elderly. A few people  in my family  tend  to say   second  cousins when they're referring to their first cousins children , first  cousins once removed .
Kind regards