I have never heard of Elizabeth Park in Singapore, so this park has no English name.

There are two places about Elizabeth in Singapore for your reference only:

1

Mount Elizabeth, English name Mount.

Elizabeth. The location is Orchard Road in Singapore (Orchard Road is the most famous shopping and entertainment street in Singapore). In mount

On Elizabeth Island, there is an Elizabeth Hospital and an Elizabeth Hotel.

2

Queen Elizabeth said that the English name is Queen.

Elizabethan

Walk. It's located in the seaside park in the financial and business district. There are many landmarks nearby that attract tourists. For example, Merlion, Opera House, Ferris wheel, Fulton Hotel, Singapore River, and the towering buildings in Singapore.

Note: The English name of seaside park is Esplanade.

park

I hope it helps you.