A taxi or Uber will be about 25 minutes to Taplow / Beaconsfield / Maidenhead area.
Alternatively you can take the Elizabeth line to Taplow / Maidenhead stations. You will need to change at Hayes & Harlington (1 stop from Terminals 2&3, 2 stops from Terminal 5) to a different Elizabeth Line train, destination Reading. You can use contactless payment, no tickets required. This will take about 35 minutes followed by a short taxi ride to local hotels.
If you are going into London first, you can take the Heathrow Express direct to Paddington (15mins). You will need to buy a specific ticket for this train.
From London Marylebone to Beaconsfield
From London Paddington to Slough
The local train stations listed above will be a short taxi ride away to local hotels and Hedsor House.