Cecily wrote the letters by herself and she also bought the ring for her, but she pretend Algernon did it. Is this the answer?
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This is essentially correct,
"On the 14th of February last. Worn out by your entire ignorance of my existence, I determined to end the matter one way or the other, and after a long struggle with myself I accepted you under this dear old tree here. The next day I bought this little ring in your name, and this is the little bangle with the true lover's knot I promised you always to wear."