I replaced my 60BTU burner with a BG14 a few years back (and switched to natural gas).
The burner I had originally, bolted to a cross brace piece. So a single bolt on the bottome of the burner was how it was mounted.
The BG14 had 4 threaded holes on the side of the burner, and used 1/4 20 bolts to mount it. I wound up just getting some long bolts and cut them to size, and drilled the bolts thru the legs of the burner into the new burner. It worked great.
I would suggest looking if it is side or bottom threaded, and then deciding if you can modify your stand accordingly.
Good luck!