Example:
The whole thing sounded a bit strange. How had she gotten my number? I wondered. I didn't know anyone called Maria.
The whole thing sounded a bit strange. How had she gotten my number anyway? I didn't know anyone called Maria.
Another example:
I wondered if the person who called was Maria. Or maybe my mother.
I wondered if the person who called was Maria. Or maybe it's my mother, I thought.
I'm not sure which one is the 'right' way of narrating the example above.
Is it really necessary to add things like "I thought, I wondered, etc," in first-person narrative?
It is OK to omit them?