Calculate location of past flight (for engagement purposes)

One year ago, I got engaged on a Singapore Airlines flight between Houston and Manchester.

I'm now trying to figure out where exactly we were and what the local time was where the plane was at the time of engagement (as I'm not sure whether we got engaged on the 11th or 12th local time, the anniversary date is a bit... ambiguous).

I've played around with FlightAware but can't get it to work for my purposes Is there someone who can figure it out and/or point me to a data...

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