You would know the old jokes about Seshappa Iyer and Sheikh Pir who moved to 16th-century Britain and became famous playwrights.
These got a fresh lease of life when Al Gore was Vice-President and later Presidential aspirant, for he had a connection in Maharashtra:

who was associated with this place:

And his wife “Tipper” Gore clearly had some connection with Tippu Sultan.
The combination of Bill and Hillary was known as Billary, which fits in well with the renamed Bellary:

Later, Barack Obama became President. He visited India more than once but did not visit this place:

Perhaps he had visited Barrackpore in Trinidad. That is the birthplace of cricketer Darren Ganga.
Trump and Pence did not have any ready-made jokes like this. There is more scope for PJs now, starting with the former VP and new President:

This is west of Prayagraj.
The new Vice-President has numerous places fitting her name, like this one:

This is near Kadapa (Cuddapah) in Andhra Pradesh.
The surname Harris can be matched to the Muslim male name of Haris.
The venerable 80-year old Speaker of the House also has a place name in India, known for a decisive 18th-century battle:
