Are they both the same and the only difference is the translation from Thai to English.

Buriram is correct. One and only. 

I think Burinam is a spelling error. Buriram is the proper transliteration from Thai.

My Wife calls it Burilam.

Have seen on road signs: Buriram, Buri ram, Burirum, Buri rum. 

Conventional transliteration would be Buriram.

19 hours ago, Lite Beer said:

My Wife calls it Burilam.

 

 

Most TT will say BuLiLam.

 

I have seen a road sign for Lahansai spelt Rahansai! ?

1 hour ago, Jip99 said:

 

 

Most TT will say BuLiLam.

 

I have seen a road sign for Lahansai spelt Rahansai! ?

It's the difference between dialects. Issan Lao dialect does not have the letter "R" and thus the pronunciation of said letter is also missing. My wife is a Khmer speaker and she does pronounce the "R" and in quite a defined way. 

 

The correct spelling would actually be Boo-ree-ram. 

1 hour ago, puchooay said:

It's the difference between dialects. Issan Lao dialect does not have the letter "R" and thus the pronunciation of said letter is also missing. My wife is a Khmer speaker and she does pronounce the "R" and in quite a defined way. 

 

The correct spelling would actually be Boo-ree-ram. 

Agree, Northern Khmer speaking Thai's ie the locals can pronounce "R's" very well, so as you said its Boo-ree-ram as spoken by the locals.

 

 

If you pronounce it as if it's english it should of course be written Boo-ree-rum