haha wo eki made miokuri ni itta ato, watasi ha sonomama tosyokan ni yorimasita.

母 is the humble/plain way to refer to your own mother when talking to someone else.

So in a sentence like this, 母 usually means my mother.

By contrast:

• 母 = my mother / one’s own mother, in a relatively neutral or modest way
• お母さん = mom / mother, often used when addressing her directly or referring to someone else’s mother more politely

So 母を駅まで… is a very normal way to say I went to see my mother off to the station.

Because 見送る takes a direct object.

The basic verb is:

• 母を見送る = to see my mother off

Here, the person being seen off is the object of 見送る, so を marks that object.

Even though English says see someone off, Japanese treats someone as the direct object of 見送る.

まで means up to, as far as, or until in a spatial sense here.

So:

• 駅まで見送る = see someone off as far as the station

This focuses on the endpoint of the seeing-off.

If you used 駅に, it would sound more like the station is simply a destination, but 駅まで strongly matches the idea of accompanying someone up to that point.

So 母を駅まで見送りに行った suggests going in order to accompany/see one’s mother off to the station.

This is a very common grammar pattern:

• verb stem + に行く = go to do something

The verb 見送る becomes the stem 見送り.

So:

• 見送りに行く = go to see someone off

Other examples:

• 食べに行く = go to eat
• 買いに行く = go to buy
• 会いに行く = go to meet

So 見送り here is not a separate random noun choice; it is the verb stem used in the pattern X に行く.

It mainly means went in order to see her off, but in natural context it usually also implies that the action was carried out.

So in practice, it often feels like:

• I went to see my mother off

and we naturally understand that the speaker did indeed see her off.

Japanese often leaves that slightly implicit. The expression focuses on the purpose of going, but in a completed past sentence like this, the whole event is normally understood as having happened.

あと means after.

When it follows a clause, it means after doing...:

• 行ったあと = after going
• 食べたあと = after eating
• 勉強したあと = after studying

So:

• 母を駅まで見送りに行ったあと = after going to see my mother off at the station

A useful point: before あと, Japanese often uses the plain past form when one action is completed before the next one.

That is why 行ったあと sounds natural here.

Yes, the natural interpretation is that the subject is the same person as in the main clause: 私.

Japanese often omits subjects when they are understood from context. So even though 私 appears only later, we read the sentence as:

• (I) went to see my mother off at the station, and after that, I stopped by the library.

Unless context strongly suggests otherwise, the subject of the あと clause and the main clause is normally understood to be the same person.

そのまま means something like:

• just like that
• without changing anything
• straight from there
• without going anywhere else first

In this sentence, it means the speaker went to the library directly after that, without returning home or making some other stop first.

So it adds the nuance of continuity:

• first, the speaker saw their mother off
• then, without breaking that flow, they went on to the library

寄る means to stop by, drop in, or drop by somewhere on the way.

So:

• 図書館に寄りました = I stopped by the library

This verb often suggests a casual or secondary stop, rather than the main destination.

So compared with simply saying 図書館に行きました, 寄りました gives the nuance that the speaker dropped by the library, perhaps on the way somewhere or as an extra stop after the previous activity.

With 寄る, the place you stop by is commonly marked with に.

So:

• コンビニに寄る = stop by the convenience store
• 友達の家に寄る = stop by a friend’s house
• 図書館に寄る = stop by the library

This is just the usual particle pattern for this verb.

In some cases you may also see へ, but に寄る is very common and natural.

This is completely normal in Japanese.

The main clause determines the overall politeness of the sentence, and subordinate clauses usually stay in plain form.

So:

• 行ったあと = plain form inside the after clause
• 寄りました = polite form in the main clause

That means the sentence is still polite overall.

This same pattern appears constantly:

• 朝ご飯を食べたあと、会社に行きました。
• 宿題が終わったら、寝ます。

So there is no awkward style mismatch here.

Yes, it could be omitted.

Japanese often leaves out pronouns when the subject is obvious, so this would also work:

• 母を駅まで見送りに行ったあと、そのまま図書館に寄りました。

Adding 私は can make the subject a little clearer or slightly re-establish the topic after the long first clause.

It can also create a mild contrastive feel depending on context, but here it mainly helps readability and clarity.

Yes. In Japanese, family terms often imply possession by context.

So 母 by itself commonly means:

• my mother, when speaking about your own family to someone else

Japanese does not need to say 私の母 every time.

Compare:

• 母 = my mother (natural, concise)
• 私の母 = my mother (more explicit, sometimes used for emphasis or clarity)

So the lack of 私の is completely normal.