Antique Staircase Railing Save

[Loren Souers]

I am currently renovating an old Victorian home from the late 1800s into apartments. It has this beautiful handrail for the staircase, but there are a couple problems with it. First, it’s a little wobbly. More wobbly than I want for a rental unit. Second, the height of the railing is a little shorter than code allows, or I am comfortable with in a rental. Has anyone dealt with this before? Is there some sort of solution where I can keep the old railing in place and make it safer without breaking the bank? I have considered enclosing it with another railing to keep the look, raising it, or adding a top rail above it. I am open to any ideas. TIA