Burial Records \ Locations

[Radfordda]

I am trying to locate the Cemetery burial records \ locations of the following great great grandparents. I would expect they would be buried near Ammanford / Llandybie if that was the case. How would I find them? I have previously contacted the Carmarthenshire Archives but never received a response. Any help or ideas to point me in the right direction would be very much appreciated. 
 
Williams Thomas (Birth 11 May 1854 in Llandebie, Carmarthenshire) and (Death 17 Jan 1927 in Carmarthen shire) Probate Address 40 Wernoleu street Ammanford.
 
Daniel Davies (Birth 1829 in Llandybie, Carmarthenshire)  death 15 Apr 1902) And his wife Margaret Davies Death 1905

Anne\Ann (Nancy) Lake Death Dec 1881 in LLandybie. Her husband was John Lake

Many thanks

Alan,

[rosie99]

Ann Lake is showing on the free index on FindMyPast as buried LLandybie

[salt]

Hello Alan.

The Dyfed Family History site (Dyfedfhs.org.uk) has an index of CMN parishes, each one lists the location of all parish records, including non-comformist.

Salt