The duchess’s visit comes after her father, Thomas Markle, claimed he was being “shunned” by his daughter, who he said had not spoken to him for months and did not reply to his daily text messages.
Pregnant Meghan looked stylish in a dress by Brock Collection and a coat by Soia and Kyo.
Mr Cooper said: “The timing of the visit is fantastic as it comes a few weeks after the Royal Variety performance which she attended with Prince Harry.
“And it comes after her wedding, which all the residents here were watching. We had the television on, Union Jack bunting up and a party atmosphere – so it’s nice to have the bride here.”
After a private briefing, Meghan met four residents sat at tables in the dining room.
She chatted briefly to actress Mona Hammond who played Blossom Jackson in EastEnders in the 1990s.
Speaking with retired West End theatre actress Josephine Gordon, 87, Meghan said she was “very good.” She then paused, put her hands on her growing baby bump and added that she was feeling “very pregnant today.”
The royal mum-to-be then asked the resident if she had any children, to which she responded, “No, I had a career.”
Meghan, a former actress herself, replied, “Yes, that I understand.”
Many social media users couldn't help but comment on Meghan's growing baby bump, questioning whether the duchess was actually further along then previously thought.
"I am convinced Meghan is further along in her pregnancy, her belly is big and high", one user wrote.
Another added, "Meghan Markle wears a duster dress and reveals the biggest 5-month pregnant stomach, she looks so bump!"
"It's definitely a mid-end of March baby," a third echoed.