Replace garage door lock with one that can open and lock inside or outside

[cliver1956]

Looking to replace the door lock on my mother in laws garage because it has no keys. It is an old, pretty standard door as in the attached photos.

If I replace like for like it will only be lockable/unlockable from the outside. Ideally I'd like to install one that can be opened/closed/etc. from inside and outside.
I did find this but it seems to be for specific makes/models of doors.
Would it fit?
Or can anyone suggest another solution.
Any ideas appreciated.

 

[freddiemercurystwin]

If you merely want something that might resist the odd opportunist passing thief then probably OK but if you actually want anything like something decent then a floor lock is preferable.

 

[cliver1956]

If you merely want something that might resist the odd opportunist passing thief then probably OK but if you actually want anything like something decent then a floor lock is preferable.

So would the Starfleet one in my link fit this door?
I appreciate I could make it more secure with different solutions but it needs to be fairly simple in operation as mother in law is elderly.