I too have Routledge ancestry in Hawick.Martha Routledge married a Hugh McFalls in Hawick in 1865.
She was the daughter of Robert Routledge and Elizabeth Johnston and was born in 1848.This was Elizabeth's second marriage and as far as I can make out Robert's first.It seems there was only one other Routledge child- Adam.They came from the Canonbie in Dumfries originally.
Now Routledge isn't that common a name.I can't believe there is not a link there somewhere. It's not inconceivable that Martha had an older brother John that I don't know about.
Further to that, I have Bell family from just up the road in Galashiels, where Agnes is a family name after an Agnes Fleurs some generations back.
Please contact me and we can see if we can help each other out!