Перевести эту фразу в косвенную речь "she does not remember this title" they said .

They said that she doesn't remember this title
Если правильно поняла, то скорее всего так.

Dear Sir, I (am writing) to you to see whether your school (will be interested) in taking part in exchange visits with our school. Quite recently we (have done) research ... , in case you (haven't heard) the name before! I expect you might have seen some of the cars which (are made) here. ... And last year a new sport center (was built). ... We (have already found) many families here who would be happy to receive students from your school and many of us (are looking) forward to visiting your city.

1) They reflect the history of the country and its cultural and religious traditions.
2)  Americans celebrate Christmas on the 25th of Decem­ber.
3) The 1st of January is not so widely celebrated in the United States as we do it
in Russia.
4) The most important holiday in America is the 4th of July,
The Independence Day.
5) The 4th of July is the day-off and people don't go to work. Other holidays
when people don't go to work are: Martin Luther King's day on the 20th of January, Labour Day on the 7th of September and Thanksgiving on the last Friday of November.
6) It is a big white stone on the shore in Plymouth in Massachusetts, that the pilgrims landed on. It is called «The Plymouth Rock».
7) Halloween is children's most favourite holiday.