I think I may be able to follow what you are talking about. Based on your question and your comments you seem to be indicating that you are concerned that your website will appear to be a Philippine website as it is being managed by a Philippine webmaster with a Philippine IP address and you are concerned about this by using the examples...
I have seen live examples, lets say there is a server in US, hosting multiple sites of people living in different countries like Australia, Canada, UK but when a person sitting in Sydney search Google for any specific term then Google primarily just shows search result from Sydney based sites or sites from around the city and if there is not enough result then Google adds result from global search engine (.com) and so on... whereas site is hosted on US server
Likewise when a person sitting in Ontario searches for the same term he gets the result related to sites belong to his city, state not from US even though site is hosted on US server So I'm afraid, your explanation is 100% incorrect 2. How does Google come to know that site belongs to a particular city, state, country whereas there is no address details in the site and all these sites are being hosted on the same US server whereas Google don't consider then US sites.
Where I believe the confusion is coming from is the methods by which Google decides the location relevance of a website.
The location of a website is evaluated by Google using a wide range of key metrics which include the domain name (if there is a ccTLD), keywords within the site itself, any identifiable physical addresses in the site content, language, keywords, etc.
For a very long time now where a website has been hosted has had nothing to do with the geographic targeting of that same site. There are a number of business and government websites for government departments and businesses based in my home state of Victoria, Australia which are in fact hosted in Europe on AWS servers as Amazon only activated its Sydney availability zones a few years ago and the businesses and government departments have not yet transferred to the Sydney availability zone. This means that when you check the EIP records, run traceroutes, etc, the sites all show up as being hosted in Europe, however the sites are assessed by Google as being Australian sites (note that most of them only use .com not .com.au and only the government sites use .gov.au). If you are terribly concerned you can use the
<meta name='coverage' content='USA'> meta tag to explicitly state that the site is targeted to the US but this should not be strictly necessary as Google should be able to identify based on your content and keywords that your site is a US site.
As for your second query regarding the Philippine webmaster managing your site and Google detecting that Google is unable to monitor connections between users and your site, only the connections that Google makes to your site. As such when the Philippine webmaster connects to your site to make changes Google has no idea and the only place there is any record of this is the IP record in your servers access logs and Apache logs. If you use Google Analytics then Google will detect a connection from the Philippines but it won't matter as it will just appear like any other user accessing your site.