My lathe is similar to the other 2 lathes pictured. I chose to put a magnetic scale on the tail stock side and b/c it's so compact i don't lose any travel. There is also plenty of room to have put it on the the head stock side as well.
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I drilled and tapped a hole in the front of the cross slide. I built a bracket for the back of the cross slide and attached it by drilling and tapping holes on the end. The read head was attached to a spacer bracket on the top of the carriage.
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Hopefully this makes sense - but to me magnetic scales are mounted 90* off from glass scales. The read head typically comes out the bottom of the glass scale and would be mounted so the the side of the magnetic scale that is affixed to the cross slide would be the top of the glass scale. It might be that one or the other works better for your mounting scenario - magnetic will typically be a bit more money.
The design of the carriage of your lathe it looks like there's a spot right in the middle where the read head could be easily mounted. The style that has been shown so far has the gib adjusting screws on the tail stock side. You could likely mount the scale on either side - whichever you prefer.
I would not recommend welding on your late. Drilling a hole and tapping it is preferable.