Ŝi havis la kuraĝon konfesi la veron al sia patrino.

Because kuraĝon is the direct object of havis. The sentence says that she had something: the courage. In Esperanto, a direct object normally takes -n.

So:

• havis = had
• la kuraĝon = the courage

This is a very common pattern: havi la kuraĝon fari ion = to have the courage to do something.

Because it works like English to confess in the courage to confess. After la kuraĝon, Esperanto often uses an infinitive to show what action required courage.

So:

• la kuraĝon konfesi = the courage to confess

The infinitive ending in Esperanto is -i, so konfesi is the basic dictionary form of the verb.

Because veron is the direct object of konfesi.

There are two different verb ideas in the sentence:

• havis → its object is la kuraĝon
• konfesi → its object is la veron

So both nouns take -n, but for different reasons. This is completely normal in Esperanto.

Because konfesi takes:

• the thing confessed as a direct object
• the person receiving the confession with al

So:

• konfesi la veron = confess the truth
• konfesi la veron al iu = confess the truth to someone

That is why patrino comes after al and does not take -n here.

If you said sian patrinon, that would make mother a direct object, which would not fit this meaning.

Because sia is the reflexive possessive adjective in Esperanto. It refers back to the subject of the clause.

Here, the subject is ŝi, so:

• sia patrino = her own mother

If you used ŝia patrino, it would usually mean some other female person's mother, not the subject's own mother.

So in this sentence, sia is the normal and correct choice.

No. Sia still refers back to the main subject, ŝi.

An infinitive like konfesi does not introduce a new grammatical subject unless one is explicitly stated. So the understood subject of konfesi is still ŝi.

That means:

• Ŝi havis la kuraĝon konfesi... al sia patrino
  still means
• She had the courage to confess ... to her own mother

Because both nouns are understood as specific.

• la kuraĝon = the specific courage needed for that act
• la veron = the specific truth that she confessed

In Esperanto, la often marks something definite or identifiable, much like English the.

Especially with havi la kuraĝon fari ion, the use of la is very common and natural.

Yes, that is understandable, but it has a slightly different feel.

• havi kuraĝon can sound more general: to have courage, to be courageous
• havi la kuraĝon more often points to a specific act: to have the courage to do that particular thing

So in this sentence, la kuraĝon is the more natural choice.

You might hear something like that, and it would be understandable, but here the plain infinitive is more natural.

So:

• la kuraĝon konfesi la veron = the natural way
• la kuraĝon por konfesi la veron = possible in some contexts, but less elegant here

After nouns like kuraĝo, Esperanto often uses the infinitive directly to express what one has the courage to do.

Havis is the past tense.

In Esperanto:

• -as = present
• -is = past
• -os = future

So havis means had.

Depending on context, natural English translations could be:

• She had the courage to confess the truth to her mother.
• She was brave enough to confess the truth to her mother.
• She found the courage to confess the truth to her mother.

The Esperanto form itself is simply past tense.

Not completely. Esperanto word order is fairly flexible because endings and prepositions show the grammatical roles.

This sentence uses a very neutral, straightforward order:

• Ŝi = subject
• havis = main verb
• la kuraĝon = object of havis
• konfesi la veron al sia patrino = infinitive phrase explaining what required courage

Other orders are possible for emphasis, but the given one is the most natural and easiest for a learner to follow.

The main ones learners notice here are:

• ŝ in Ŝi = like English sh
• ĝ in kuraĝon = like the s in measure, or zh

Also, Esperanto stress normally falls on the second-to-last syllable:

• HA-vis
• ku-RA-ĝon
• kon-FE-si
• VE-ron
• SI-a
• pa-TRI-no

So the sentence is pronounced roughly like:

shee HA-vis la koo-RA-zhon kon-FE-si la VE-ron al SI-a pa-TRI-no