Summary of Adverbial Modifiers

What are the adverbial modifiers?What do they modify?
Adverb
Prepositional phrase
Abl noun without a preposition (NIAWOP)
Ablative absolute 
Non-core dative
Adverbial dependent clause
Adverbial accusative without a preposition
Locative case (e.g. domi; Romae)
Verbs, Adjectives or Adverbs which are often found to the right of the adverbial modifier

Prepositional Phrases

prepositionContextual CluesExampleTranslation
a/ab+abl (agent)Animate noun and passive verbby
a/ab+abl(separation/place from which)Noun frequently expressing place and verb usually of motion or separationfrom
cum+abl.
(accompaniment)
Animate nounwith
cum+abl (manner)Abstract noun, often with an adjective modifying itmagnā cum laudewith
in + abl (place)
in, on
in + acc (direction)
int, onto

Nouns In the Ablative Without a Preposition (NIAWOPS)

NIAWOP Contextual CluesExampleTranslation
means/mannerInanimate noun/ Abstract nounWith/by means of 
timeWord connoting timeat, in, on
separation/place from which

origin
Inanimate noun/place nameand verb usually of motion or separation
person and passive verb meaning ‘born, begotten’
from

from, of
causeModifies verb with a positive or negative emotional impact,e.g. gaudeo, doleodue to, because of
comparisonComparative adj/advmaior fratre: bigger than his brotherthan
degree of differenceWord of quantity (multo, paulo)       and Comparative adj/advfrater paulō maiora slightly older brother,a brother, a little older
abl. of respectThe head of this ablative is an adjectivemaior natū: older in respect to birth
In, in respect to
abl. of descriptionThe abl of description is an adjectival modifier, i.e., it modifies a nounstatua immanī magnitudine: a statue of immense sizeof

Adverbial Accusative Without a Preposition

Adverbial AccusativeContextual CluesTranslation
Of duration of timeWords of ‘time’, such as diem orannosFor (the duration of)
Of place to whichPlace name and intransitive verb or complete coreto

Dative as Adverbial Modifier

DativeContextual CluesTranslation
dative of indirectobjectVerbs of “give, tell,show” (do dare, etc.)to 
dative of possessionoccurs with intransitiveuses of sum esse‘dative noun’ has the ‘subject’ of est
dative with
compound verbs
compound verbs, i.e., a verb with a prefix (intulit, imponit)to, for, on, at
dative of reference(no special environment)to, for
dative of purpose in double dativethe dative is an abstract noun of ‘helping’or ‘hindering’, e.g., usui, auxilio, saluti,impedimento, etc.for the purpose of,for, as
dative with adjectivesAdjectives gratus,inimicus, similis, etc for
dative of agentVerbs of the passive periphrastic conjugationby
dative of separationVerb of ‘taking away’;Animate nounfrom