Badfish # CUS S NS9890 3
Badfische 1587 Culross Chrs. 80 no. 25 [feu-farm of lands of Wester Grange, Badfische and Catterflattis set in feu to Andrew Stewart]
Badfishche 1644 Retours (Perth) no. 544 [Gilbert Gourlay of Wester Grange, in the lands of Wester Grange, Badfish and Caterflattis, etc.]
Batefisch 1826 Sasines no. 2291 [‘Westgrange, Batefisch and Cateflatis or Katterflatts now called Brankstown’]
The first element may be G bad, for which see Bads # CUS (with which it has no physical connection). It is in fact physically much nearer to Bath, and flows past the site of the now lost Chapelbath, and it may rather be this element or name which supplies the first element of Badfish. I have no idea what the second element might be, although by the time it first appears in the record it has been assimilated to Sc fish ‘fish’.
The name survives on OS Pathf. as Badfish Burn (NS98 90), whence the above NGR. The burn flows westwards south of Brankstone House, flowing through the disused mine at NS976899 to join the Bluther Burn on the south side of that site. The lost place-name *Catterflats presumably referred to level land somewhere along its banks, and near its alias Brankstone.
This place-name appeared in printed volume 1