Well-remembered

verb (used with object)
1.
to recall to the mind by an act or effort of memory; think of again:
I’ll try to remember the exact date.
2.
to retain in the memory; keep in mind; remain aware of:
Remember your appointment with the dentist.
3.
to have (something) come into the mind again:
I just remembered that it’s your birthday today.
4.
to bear (a person) in mind as deserving a gift, reward, or fee:
The company always remembers us at Christmas.
5.
to give a tip, donation, or gift to:
to remember the needy.
6.
to mention (a person) to another as sending kindly greetings:
Remember me to your family.
7.
(of an appliance, computer, etc.) to perform (a programmed activity) at a later time or according to a preset schedule:
The coffeepot remembers to start the coffee at 7 a.m. every day.
8.
Archaic. to remind.
verb (used without object)
9.
to possess or exercise the faculty of memory.
10.
to have recollection (sometimes followed by of):
The old man remembers of his youth.
well-remembered
adjective (well remembered when postpositive)
1.
recalled or having been recalled with affection, nostalgia, or vividness
verb
1.
to become aware of (something forgotten) again; bring back to one’s consciousness; recall
2.
to retain (an idea, intention, etc) in one’s conscious mind: to remember Pythagoras’ theorem, remember to do one’s shopping
3.
(transitive) to give money, etc, to (someone), as in a will or in tipping
4.
(transitive) foll by to. to mention (a person’s name) to another person, as by way of greeting or friendship: remember me to your mother
5.
(transitive) to mention (a person) favourably, as in prayer
6.
(transitive) to commemorate (a person, event, etc): to remember the dead of the wars
7.
remember oneself, to recover one’s good manners after a lapse; stop behaving badly

remember re·mem·ber (rĭ-měm’bər)
v. re·mem·bered, re·mem·ber·ing, re·mem·bers

To recall to the mind; think of again.

To retain in the memory.

To return to an original shape or form after being deformed or altered.