no loctite. install visegrips to use shower. if hot then foam pipe
insulation to cover hot visegrip.
plan on inconveniencing home occupants by turning off water supply to
tub when taking parts to town to compare them.
see also
www.hdsupply.com for an overwhelming amount of handles and
stems.
or find your nearest plumber, those old timers often recognize the old
parts and have a much faster repair for you.