Both questions for a different topic… but in short, both are unique in how they are used…
Timer Widget, WILL give you a user settable start/stop time (typically for simple daily repeating) with a vPin 0/1 result
Time Input Widget - Is basically a simple user interface to supply your sketch with detailed start, stop, days, etc information… but it requires you to create code to interpret and utilize the results, and trigger the actions - See here for more…