Help with Identifying Ballpark in Matty Photo

[jacksons]

All -

A friend of mine (who happens to be a talented artist ) and I have been researching the potential location of the attached photographs of a young Mathewson.

Here's what we know:

1. The uniform dates this to the early 1900s - most closely to the 1901 NY Giants uniform
2. The scans of the backs of 2 of these images don't help - they were printed later.
3. The Polo Grounds did in fact have those white posts in the distant outfield used to tie horses, buggies.
4. According to Baseball Almanac, the NY Giants's Spring Training facility was in NY, NY from 1900-1901, before moving to Savannah in 1903

Anyone recognize the ballpark, or have more concrete knowledge of where the Giants trained in these early years?