At the bed edge, she reaches for the nightstand before she reaches for anything else. That reach is the first thing she does on the trip, and a table that moves under her weight turns a sit-up into a lean. Before you decide who fixes it, find out why it moves.
Local option: New Plan Care gives families in the St. Louis area in-home help so a parent can stay home: companionship, help with bathing and dressing, meals, and overnight care. Call (314) 405-0887.
Test it the way she uses it
Stand where she stands, with the bed on one side of you, and put both hands on the top edge. Push toward the bed, then pull toward the room. Do the same at the corner where she grips most. Note whether the whole unit rocks, one leg lifts, the top slides on its base, or the drawer front shifts. Each points to a different fix. A rocking leg usually means a loose joint or a stripped leg bolt. A top that slides points to the base or old glue. A table that tips when you lean on its top edge needs a wall fastening, not a tighter bolt.
Check what it is made of
Look at the joints. Solid wood with a loose screw is usually a fix you can make yourself. Particleboard or thin laminate with stripped screw holes will not hold a repaired screw for long, because the board has lost its grip and tightening will not bring it back. Look under the table for cam locks or dowel joints you can reach. If you find no hardware and the parts look glued, the table is a repair call, not a weekend job.
Decide what you can do yourself
With a screwdriver, a drill, and the manual if you still have it, you can tighten every visible bolt and screw, replace a stripped screw with a longer one of the same thread, and level the table so all four feet sit flat without a rock. Put a flat, non-slip pad under any foot that rests on a rug edge. Keep the heaviest items, the lamp and the water glass, on the side away from the bed so the table does not tip toward her.
Anchoring the table to the wall is the step many families stop at. Anti-tip straps and brackets fasten into a stud, and the fastening is only as good as the wall behind it. Before you buy one, find a stud with a stud finder, or knock along the wall until the sound changes. If the wall is plaster over lath, or hollow, a standard screw will not hold, and that is where a handyman earns the call.
Hire it out when the table or the wall is the problem
Hire someone when the joints are glued or gone, when the wall is plaster and you cannot find a stud, or when the table needs to move to a new spot on the route. Ask three things before any work starts: whether they will fasten the table to the wall, what they will use in plaster or hollow walls, and what they will do if the table still rocks afterward. Ask them to set the table where you have tested it, so it stays at the reach you chose and not at a spot that was easier for them.
If you need names in St. Louis to start with, the local help page on this site is the place to begin.
Write it down
Record the day you tested and what you found in plain words: rocks at the back left leg, top slides when pushed toward the bed, stud found on the left side of the table. Write down which fix you made yourself and which you handed to someone, and the next check that is due. If she grabs the table and it moves, note the moment and the time of night. Any dizziness at the bed edge belongs with her doctor, not with the furniture, so tell the physician what you saw.